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Finding the Fourth Proportional to 10,868.73, 16,305.21 and 3,847.97

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Solution

The fourth proportional to 10,868.73, 16,305.21 and 3,847.97 is: 5,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,868.73 : 16,305.21 = 3,847.97 : x
  2. Step 2: Convert to fraction form
    10,868.73/16,305.21 = 3,847.97/x
  3. Step 3: Cross multiply
    10,868.73x = 16,305.21 × 3,847.97
  4. Step 4: Simplify right side
    10,868.73x = 62,741,877.40
  5. Step 5: Solve for x
    x = 62,741,877.40/10,868.73
  6. Step 6: Final answer
    x = 5,772.70

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Why These Related Problems?

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