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Finding the Fourth Proportional to 8,284.57, 12,425.23 and 2,439.61

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Solution

The fourth proportional to 8,284.57, 12,425.23 and 2,439.61 is: 3,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.57 : 12,425.23 = 2,439.61 : x
  2. Step 2: Convert to fraction form
    8,284.57/12,425.23 = 2,439.61/x
  3. Step 3: Cross multiply
    8,284.57x = 12,425.23 × 2,439.61
  4. Step 4: Simplify right side
    8,284.57x = 30,312,687.35
  5. Step 5: Solve for x
    x = 30,312,687.35/8,284.57
  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.