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Finding the Fourth Proportional to 11,737.85, 16,197.98 and 6,432.56

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Solution

The fourth proportional to 11,737.85, 16,197.98 and 6,432.56 is: 8,876.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.85 : 16,197.98 = 6,432.56 : x
  2. Step 2: Convert to fraction form
    11,737.85/16,197.98 = 6,432.56/x
  3. Step 3: Cross multiply
    11,737.85x = 16,197.98 × 6,432.56
  4. Step 4: Simplify right side
    11,737.85x = 104,194,365.08
  5. Step 5: Solve for x
    x = 104,194,365.08/11,737.85
  6. Step 6: Final answer
    x = 8,876.79

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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.