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Finding the Fourth Proportional to 8,562.40, 12,818.40 and 6,380.80

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Solution

The fourth proportional to 8,562.40, 12,818.40 and 6,380.80 is: 9,552.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.40 : 12,818.40 = 6,380.80 : x
  2. Step 2: Convert to fraction form
    8,562.40/12,818.40 = 6,380.80/x
  3. Step 3: Cross multiply
    8,562.40x = 12,818.40 × 6,380.80
  4. Step 4: Simplify right side
    8,562.40x = 81,791,646.72
  5. Step 5: Solve for x
    x = 81,791,646.72/8,562.40
  6. Step 6: Final answer
    x = 9,552.42

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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.