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Finding the Fourth Proportional to 10,439.97, 14,406.89 and 5,963.43

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Solution

The fourth proportional to 10,439.97, 14,406.89 and 5,963.43 is: 8,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439.97 : 14,406.89 = 5,963.43 : x
  2. Step 2: Convert to fraction form
    10,439.97/14,406.89 = 5,963.43/x
  3. Step 3: Cross multiply
    10,439.97x = 14,406.89 × 5,963.43
  4. Step 4: Simplify right side
    10,439.97x = 85,914,480.03
  5. Step 5: Solve for x
    x = 85,914,480.03/10,439.97
  6. Step 6: Final answer
    x = 8,229.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.