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Finding the Fourth Proportional to 11,753.80, 17,631.04 and 3,432.95

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Solution

The fourth proportional to 11,753.80, 17,631.04 and 3,432.95 is: 5,149.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.80 : 17,631.04 = 3,432.95 : x
  2. Step 2: Convert to fraction form
    11,753.80/17,631.04 = 3,432.95/x
  3. Step 3: Cross multiply
    11,753.80x = 17,631.04 × 3,432.95
  4. Step 4: Simplify right side
    11,753.80x = 60,526,382.03
  5. Step 5: Solve for x
    x = 60,526,382.03/11,753.80
  6. Step 6: Final answer
    x = 5,149.52

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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.