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Finding the Fourth Proportional to 10,149.43, 14,010.53 and 6,171.82

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Solution

The fourth proportional to 10,149.43, 14,010.53 and 6,171.82 is: 8,519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.43 : 14,010.53 = 6,171.82 : x
  2. Step 2: Convert to fraction form
    10,149.43/14,010.53 = 6,171.82/x
  3. Step 3: Cross multiply
    10,149.43x = 14,010.53 × 6,171.82
  4. Step 4: Simplify right side
    10,149.43x = 86,470,469.26
  5. Step 5: Solve for x
    x = 86,470,469.26/10,149.43
  6. Step 6: Final answer
    x = 8,519.74

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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.