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Finding the Fourth Proportional to 8,481.64, 12,726.24 and 4,581.52

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Solution

The fourth proportional to 8,481.64, 12,726.24 and 4,581.52 is: 6,874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,481.64 : 12,726.24 = 4,581.52 : x
  2. Step 2: Convert to fraction form
    8,481.64/12,726.24 = 4,581.52/x
  3. Step 3: Cross multiply
    8,481.64x = 12,726.24 × 4,581.52
  4. Step 4: Simplify right side
    8,481.64x = 58,305,523.08
  5. Step 5: Solve for x
    x = 58,305,523.08/8,481.64
  6. Step 6: Final answer
    x = 6,874.32

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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.