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Finding the Fourth Proportional to 11,737.46, 16,198.07 and 6,432.25

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Solution

The fourth proportional to 11,737.46, 16,198.07 and 6,432.25 is: 8,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.46 : 16,198.07 = 6,432.25 : x
  2. Step 2: Convert to fraction form
    11,737.46/16,198.07 = 6,432.25/x
  3. Step 3: Cross multiply
    11,737.46x = 16,198.07 × 6,432.25
  4. Step 4: Simplify right side
    11,737.46x = 104,190,035.76
  5. Step 5: Solve for x
    x = 104,190,035.76/11,737.46
  6. Step 6: Final answer
    x = 8,876.71

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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.