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Finding the Fourth Proportional to 8,282.66, 12,424.07 and 2,439.27

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Solution

The fourth proportional to 8,282.66, 12,424.07 and 2,439.27 is: 3,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.66 : 12,424.07 = 2,439.27 : x
  2. Step 2: Convert to fraction form
    8,282.66/12,424.07 = 2,439.27/x
  3. Step 3: Cross multiply
    8,282.66x = 12,424.07 × 2,439.27
  4. Step 4: Simplify right side
    8,282.66x = 30,305,636.27
  5. Step 5: Solve for x
    x = 30,305,636.27/8,282.66
  6. Step 6: Final answer
    x = 3,658.93

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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.