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Finding the Fourth Proportional to 10,666.59, 15,993.96 and 7,706.24

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Solution

The fourth proportional to 10,666.59, 15,993.96 and 7,706.24 is: 11,555.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.59 : 15,993.96 = 7,706.24 : x
  2. Step 2: Convert to fraction form
    10,666.59/15,993.96 = 7,706.24/x
  3. Step 3: Cross multiply
    10,666.59x = 15,993.96 × 7,706.24
  4. Step 4: Simplify right side
    10,666.59x = 123,253,245.42
  5. Step 5: Solve for x
    x = 123,253,245.42/10,666.59
  6. Step 6: Final answer
    x = 11,555.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.