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Finding the Fourth Proportional to 8,500.80, 12,751.20 and 2,657.42

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Solution

The fourth proportional to 8,500.80, 12,751.20 and 2,657.42 is: 3,986.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.80 : 12,751.20 = 2,657.42 : x
  2. Step 2: Convert to fraction form
    8,500.80/12,751.20 = 2,657.42/x
  3. Step 3: Cross multiply
    8,500.80x = 12,751.20 × 2,657.42
  4. Step 4: Simplify right side
    8,500.80x = 33,885,293.90
  5. Step 5: Solve for x
    x = 33,885,293.90/8,500.80
  6. Step 6: Final answer
    x = 3,986.13

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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.