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Finding the Fourth Proportional to 10,687.44, 16,034.81 and 5,757.59

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Solution

The fourth proportional to 10,687.44, 16,034.81 and 5,757.59 is: 8,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.44 : 16,034.81 = 5,757.59 : x
  2. Step 2: Convert to fraction form
    10,687.44/16,034.81 = 5,757.59/x
  3. Step 3: Cross multiply
    10,687.44x = 16,034.81 × 5,757.59
  4. Step 4: Simplify right side
    10,687.44x = 92,321,752.75
  5. Step 5: Solve for x
    x = 92,321,752.75/10,687.44
  6. Step 6: Final answer
    x = 8,638.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.