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Finding the Fourth Proportional to 7,524.92, 10,372.38 and 5,929.04

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Solution

The fourth proportional to 7,524.92, 10,372.38 and 5,929.04 is: 8,172.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.92 : 10,372.38 = 5,929.04 : x
  2. Step 2: Convert to fraction form
    7,524.92/10,372.38 = 5,929.04/x
  3. Step 3: Cross multiply
    7,524.92x = 10,372.38 × 5,929.04
  4. Step 4: Simplify right side
    7,524.92x = 61,498,255.92
  5. Step 5: Solve for x
    x = 61,498,255.92/7,524.92
  6. Step 6: Final answer
    x = 8,172.61

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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.