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Finding the Fourth Proportional to 8,283.86, 12,424.41 and 2,439.09

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Solution

The fourth proportional to 8,283.86, 12,424.41 and 2,439.09 is: 3,658.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.86 : 12,424.41 = 2,439.09 : x
  2. Step 2: Convert to fraction form
    8,283.86/12,424.41 = 2,439.09/x
  3. Step 3: Cross multiply
    8,283.86x = 12,424.41 × 2,439.09
  4. Step 4: Simplify right side
    8,283.86x = 30,304,254.19
  5. Step 5: Solve for x
    x = 30,304,254.19/8,283.86
  6. Step 6: Final answer
    x = 3,658.23

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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.