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Finding the Fourth Proportional to 8,286.48, 12,429.42 and 2,046.46

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Solution

The fourth proportional to 8,286.48, 12,429.42 and 2,046.46 is: 3,069.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.48 : 12,429.42 = 2,046.46 : x
  2. Step 2: Convert to fraction form
    8,286.48/12,429.42 = 2,046.46/x
  3. Step 3: Cross multiply
    8,286.48x = 12,429.42 × 2,046.46
  4. Step 4: Simplify right side
    8,286.48x = 25,436,310.85
  5. Step 5: Solve for x
    x = 25,436,310.85/8,286.48
  6. Step 6: Final answer
    x = 3,069.62

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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.