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Finding the Fourth Proportional to 10,432.71, 14,397.10 and 5,957.86

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Solution

The fourth proportional to 10,432.71, 14,397.10 and 5,957.86 is: 8,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.71 : 14,397.10 = 5,957.86 : x
  2. Step 2: Convert to fraction form
    10,432.71/14,397.10 = 5,957.86/x
  3. Step 3: Cross multiply
    10,432.71x = 14,397.10 × 5,957.86
  4. Step 4: Simplify right side
    10,432.71x = 85,775,906.21
  5. Step 5: Solve for x
    x = 85,775,906.21/10,432.71
  6. Step 6: Final answer
    x = 8,221.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.