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Finding the Fourth Proportional to 10,874.20, 16,311.30 and 3,947.80

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Solution

The fourth proportional to 10,874.20, 16,311.30 and 3,947.80 is: 5,921.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.20 : 16,311.30 = 3,947.80 : x
  2. Step 2: Convert to fraction form
    10,874.20/16,311.30 = 3,947.80/x
  3. Step 3: Cross multiply
    10,874.20x = 16,311.30 × 3,947.80
  4. Step 4: Simplify right side
    10,874.20x = 64,393,750.14
  5. Step 5: Solve for x
    x = 64,393,750.14/10,874.20
  6. Step 6: Final answer
    x = 5,921.70

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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.