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Finding the Fourth Proportional to 10,963.97, 16,443.25 and 3,171.23

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Solution

The fourth proportional to 10,963.97, 16,443.25 and 3,171.23 is: 4,756.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.97 : 16,443.25 = 3,171.23 : x
  2. Step 2: Convert to fraction form
    10,963.97/16,443.25 = 3,171.23/x
  3. Step 3: Cross multiply
    10,963.97x = 16,443.25 × 3,171.23
  4. Step 4: Simplify right side
    10,963.97x = 52,145,237.55
  5. Step 5: Solve for x
    x = 52,145,237.55/10,963.97
  6. Step 6: Final answer
    x = 4,756.06

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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.