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Finding the Fourth Proportional to 11,737.57, 16,198.21 and 6,432.71

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Solution

The fourth proportional to 11,737.57, 16,198.21 and 6,432.71 is: 8,877.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.57 : 16,198.21 = 6,432.71 : x
  2. Step 2: Convert to fraction form
    11,737.57/16,198.21 = 6,432.71/x
  3. Step 3: Cross multiply
    11,737.57x = 16,198.21 × 6,432.71
  4. Step 4: Simplify right side
    11,737.57x = 104,198,387.45
  5. Step 5: Solve for x
    x = 104,198,387.45/11,737.57
  6. Step 6: Final answer
    x = 8,877.34

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Why These Related Problems?

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