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Finding the Fourth Proportional to 10,397.68, 15,594.09 and 5,127.28

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Solution

The fourth proportional to 10,397.68, 15,594.09 and 5,127.28 is: 7,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.68 : 15,594.09 = 5,127.28 : x
  2. Step 2: Convert to fraction form
    10,397.68/15,594.09 = 5,127.28/x
  3. Step 3: Cross multiply
    10,397.68x = 15,594.09 × 5,127.28
  4. Step 4: Simplify right side
    10,397.68x = 79,955,265.78
  5. Step 5: Solve for x
    x = 79,955,265.78/10,397.68
  6. Step 6: Final answer
    x = 7,689.72

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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.