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Finding the Fourth Proportional to 8,279.52, 12,423.28 and 3,661.92

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Solution

The fourth proportional to 8,279.52, 12,423.28 and 3,661.92 is: 5,494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.52 : 12,423.28 = 3,661.92 : x
  2. Step 2: Convert to fraction form
    8,279.52/12,423.28 = 3,661.92/x
  3. Step 3: Cross multiply
    8,279.52x = 12,423.28 × 3,661.92
  4. Step 4: Simplify right side
    8,279.52x = 45,493,057.50
  5. Step 5: Solve for x
    x = 45,493,057.50/8,279.52
  6. Step 6: Final answer
    x = 5,494.65

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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.