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Finding the Fourth Proportional to 11,677.52, 16,114.56 and 6,372.32

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Solution

The fourth proportional to 11,677.52, 16,114.56 and 6,372.32 is: 8,793.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.52 : 16,114.56 = 6,372.32 : x
  2. Step 2: Convert to fraction form
    11,677.52/16,114.56 = 6,372.32/x
  3. Step 3: Cross multiply
    11,677.52x = 16,114.56 × 6,372.32
  4. Step 4: Simplify right side
    11,677.52x = 102,687,132.98
  5. Step 5: Solve for x
    x = 102,687,132.98/11,677.52
  6. Step 6: Final answer
    x = 8,793.57

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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.