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Finding the Fourth Proportional to 8,286.80, 12,432.24 and 6,808.52

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Solution

The fourth proportional to 8,286.80, 12,432.24 and 6,808.52 is: 10,214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.80 : 12,432.24 = 6,808.52 : x
  2. Step 2: Convert to fraction form
    8,286.80/12,432.24 = 6,808.52/x
  3. Step 3: Cross multiply
    8,286.80x = 12,432.24 × 6,808.52
  4. Step 4: Simplify right side
    8,286.80x = 84,645,154.68
  5. Step 5: Solve for x
    x = 84,645,154.68/8,286.80
  6. Step 6: Final answer
    x = 10,214.46

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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.