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Finding the Fourth Proportional to 10,921.48, 16,384.04 and 3,425.52

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Solution

The fourth proportional to 10,921.48, 16,384.04 and 3,425.52 is: 5,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,921.48 : 16,384.04 = 3,425.52 : x
  2. Step 2: Convert to fraction form
    10,921.48/16,384.04 = 3,425.52/x
  3. Step 3: Cross multiply
    10,921.48x = 16,384.04 × 3,425.52
  4. Step 4: Simplify right side
    10,921.48x = 56,123,856.70
  5. Step 5: Solve for x
    x = 56,123,856.70/10,921.48
  6. Step 6: Final answer
    x = 5,138.85

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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.