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Finding the Fourth Proportional to 11,737.76, 16,198.08 and 6,432.56

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Solution

The fourth proportional to 11,737.76, 16,198.08 and 6,432.56 is: 8,876.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.76 : 16,198.08 = 6,432.56 : x
  2. Step 2: Convert to fraction form
    11,737.76/16,198.08 = 6,432.56/x
  3. Step 3: Cross multiply
    11,737.76x = 16,198.08 × 6,432.56
  4. Step 4: Simplify right side
    11,737.76x = 104,195,121.48
  5. Step 5: Solve for x
    x = 104,195,121.48/11,737.76
  6. Step 6: Final answer
    x = 8,876.92

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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.