Increase 8 in a ratio of $$ 5: 4 $$.

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To **increase** the number **8** in the ratio of $$ 5:4 $$, we can interpret this as scaling the original number (which corresponds to the second part of the ratio, **4**) to the new value (which corresponds to the first part of the ratio, **5**).

Here's a step-by-step breakdown:

1. **Understand the Ratio:**
   - The ratio $$ 5:4 $$ means that for every **4** units of the original value, it should be increased to **5** units.

2. **Set Up the Proportion:**
   - Let the original value be represented by **4** parts.
   - The new value will be **5** parts.
   - Given that **4 parts = 8**, we can find the value of **1 part**.

3. **Calculate the Value of 1 Part:**
   $$
   1\ \text{part} = \frac{8}{4} = 2
   $$

4. **Find the Increased Value:**
   $$
   5\ \text{parts} = 5 \times 2 = 10
   $$

**Conclusion:**

When you increase **8** in the ratio of $$ 5:4 $$, the new value is **10**.
To increase 8 in the ratio of $$ 5:4 $$, multiply 8 by $$ \frac{5}{4} $$, which equals 10.

Increase 8 in a ratio of \( 5: 4 \).

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