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Finding the Fourth Proportional to 10,092.24, 15,139.17 and 5,737.68

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Solution

The fourth proportional to 10,092.24, 15,139.17 and 5,737.68 is: 8,606.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.24 : 15,139.17 = 5,737.68 : x
  2. Step 2: Convert to fraction form
    10,092.24/15,139.17 = 5,737.68/x
  3. Step 3: Cross multiply
    10,092.24x = 15,139.17 × 5,737.68
  4. Step 4: Simplify right side
    10,092.24x = 86,863,712.93
  5. Step 5: Solve for x
    x = 86,863,712.93/10,092.24
  6. Step 6: Final answer
    x = 8,606.98

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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.