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Finding the Fourth Proportional to 11,677.29, 16,114.98 and 6,372.19

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Solution

The fourth proportional to 11,677.29, 16,114.98 and 6,372.19 is: 8,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.29 : 16,114.98 = 6,372.19 : x
  2. Step 2: Convert to fraction form
    11,677.29/16,114.98 = 6,372.19/x
  3. Step 3: Cross multiply
    11,677.29x = 16,114.98 × 6,372.19
  4. Step 4: Simplify right side
    11,677.29x = 102,687,714.41
  5. Step 5: Solve for x
    x = 102,687,714.41/11,677.29
  6. Step 6: Final answer
    x = 8,793.80

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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.