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Finding the Fourth Proportional to 10,680.74, 16,023.38 and 3,658.87

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Solution

The fourth proportional to 10,680.74, 16,023.38 and 3,658.87 is: 5,489.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.74 : 16,023.38 = 3,658.87 : x
  2. Step 2: Convert to fraction form
    10,680.74/16,023.38 = 3,658.87/x
  3. Step 3: Cross multiply
    10,680.74x = 16,023.38 × 3,658.87
  4. Step 4: Simplify right side
    10,680.74x = 58,627,493.56
  5. Step 5: Solve for x
    x = 58,627,493.56/10,680.74
  6. Step 6: Final answer
    x = 5,489.09

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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.