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Finding the Fourth Proportional to 11,737.38, 16,192.17 and 6,766.50

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Solution

The fourth proportional to 11,737.38, 16,192.17 and 6,766.50 is: 9,334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.38 : 16,192.17 = 6,766.50 : x
  2. Step 2: Convert to fraction form
    11,737.38/16,192.17 = 6,766.50/x
  3. Step 3: Cross multiply
    11,737.38x = 16,192.17 × 6,766.50
  4. Step 4: Simplify right side
    11,737.38x = 109,564,318.31
  5. Step 5: Solve for x
    x = 109,564,318.31/11,737.38
  6. Step 6: Final answer
    x = 9,334.65

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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.