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Finding the Fourth Proportional to 10,687.68, 16,031.34 and 3,762

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Solution

The fourth proportional to 10,687.68, 16,031.34 and 3,762 is: 5,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.68 : 16,031.34 = 3,762 : x
  2. Step 2: Convert to fraction form
    10,687.68/16,031.34 = 3,762/x
  3. Step 3: Cross multiply
    10,687.68x = 16,031.34 × 3,762
  4. Step 4: Simplify right side
    10,687.68x = 60,309,901.08
  5. Step 5: Solve for x
    x = 60,309,901.08/10,687.68
  6. Step 6: Final answer
    x = 5,642.94

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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.