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Finding the Fourth Proportional to 8,500.82, 12,751.22 and 2,657.92

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Solution

The fourth proportional to 8,500.82, 12,751.22 and 2,657.92 is: 3,986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.82 : 12,751.22 = 2,657.92 : x
  2. Step 2: Convert to fraction form
    8,500.82/12,751.22 = 2,657.92/x
  3. Step 3: Cross multiply
    8,500.82x = 12,751.22 × 2,657.92
  4. Step 4: Simplify right side
    8,500.82x = 33,891,722.66
  5. Step 5: Solve for x
    x = 33,891,722.66/8,500.82
  6. Step 6: Final answer
    x = 3,986.88

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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.