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Finding the Fourth Proportional to 7,312.62, 10,092 and 4,169.04

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Solution

The fourth proportional to 7,312.62, 10,092 and 4,169.04 is: 5,753.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.62 : 10,092 = 4,169.04 : x
  2. Step 2: Convert to fraction form
    7,312.62/10,092 = 4,169.04/x
  3. Step 3: Cross multiply
    7,312.62x = 10,092 × 4,169.04
  4. Step 4: Simplify right side
    7,312.62x = 42,073,951.68
  5. Step 5: Solve for x
    x = 42,073,951.68/7,312.62
  6. Step 6: Final answer
    x = 5,753.61

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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.