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Finding the Fourth Proportional to 11,737.53, 16,197.81 and 6,432.23

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Solution

The fourth proportional to 11,737.53, 16,197.81 and 6,432.23 is: 8,876.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.53 : 16,197.81 = 6,432.23 : x
  2. Step 2: Convert to fraction form
    11,737.53/16,197.81 = 6,432.23/x
  3. Step 3: Cross multiply
    11,737.53x = 16,197.81 × 6,432.23
  4. Step 4: Simplify right side
    11,737.53x = 104,188,100.16
  5. Step 5: Solve for x
    x = 104,188,100.16/11,737.53
  6. Step 6: Final answer
    x = 8,876.49

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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.