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Finding the Fourth Proportional to 10,644.90, 14,691.68 and 6,171.24

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Solution

The fourth proportional to 10,644.90, 14,691.68 and 6,171.24 is: 8,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.90 : 14,691.68 = 6,171.24 : x
  2. Step 2: Convert to fraction form
    10,644.90/14,691.68 = 6,171.24/x
  3. Step 3: Cross multiply
    10,644.90x = 14,691.68 × 6,171.24
  4. Step 4: Simplify right side
    10,644.90x = 90,665,852.43
  5. Step 5: Solve for x
    x = 90,665,852.43/10,644.90
  6. Step 6: Final answer
    x = 8,517.30

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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.