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Finding the Fourth Proportional to 11,677.53, 16,114.68 and 6,372.36

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Solution

The fourth proportional to 11,677.53, 16,114.68 and 6,372.36 is: 8,793.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.53 : 16,114.68 = 6,372.36 : x
  2. Step 2: Convert to fraction form
    11,677.53/16,114.68 = 6,372.36/x
  3. Step 3: Cross multiply
    11,677.53x = 16,114.68 × 6,372.36
  4. Step 4: Simplify right side
    11,677.53x = 102,688,542.24
  5. Step 5: Solve for x
    x = 102,688,542.24/11,677.53
  6. Step 6: Final answer
    x = 8,793.69

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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.