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Finding the Fourth Proportional to 8,456.42, 12,686.40 and 2,532.80

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Solution

The fourth proportional to 8,456.42, 12,686.40 and 2,532.80 is: 3,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.42 : 12,686.40 = 2,532.80 : x
  2. Step 2: Convert to fraction form
    8,456.42/12,686.40 = 2,532.80/x
  3. Step 3: Cross multiply
    8,456.42x = 12,686.40 × 2,532.80
  4. Step 4: Simplify right side
    8,456.42x = 32,132,113.92
  5. Step 5: Solve for x
    x = 32,132,113.92/8,456.42
  6. Step 6: Final answer
    x = 3,799.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.