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Finding the Fourth Proportional to 11,677.44, 16,114.92 and 6,372.37

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Solution

The fourth proportional to 11,677.44, 16,114.92 and 6,372.37 is: 8,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.44 : 16,114.92 = 6,372.37 : x
  2. Step 2: Convert to fraction form
    11,677.44/16,114.92 = 6,372.37/x
  3. Step 3: Cross multiply
    11,677.44x = 16,114.92 × 6,372.37
  4. Step 4: Simplify right side
    11,677.44x = 102,690,232.76
  5. Step 5: Solve for x
    x = 102,690,232.76/11,677.44
  6. Step 6: Final answer
    x = 8,793.90

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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.