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Finding the Fourth Proportional to 11,737.71, 16,197.96 and 6,432.54

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Solution

The fourth proportional to 11,737.71, 16,197.96 and 6,432.54 is: 8,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.71 : 16,197.96 = 6,432.54 : x
  2. Step 2: Convert to fraction form
    11,737.71/16,197.96 = 6,432.54/x
  3. Step 3: Cross multiply
    11,737.71x = 16,197.96 × 6,432.54
  4. Step 4: Simplify right side
    11,737.71x = 104,194,025.62
  5. Step 5: Solve for x
    x = 104,194,025.62/11,737.71
  6. Step 6: Final answer
    x = 8,876.86

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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.