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Finding the Fourth Proportional to 8,478.67, 12,716.92 and 2,239.20

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Solution

The fourth proportional to 8,478.67, 12,716.92 and 2,239.20 is: 3,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.67 : 12,716.92 = 2,239.20 : x
  2. Step 2: Convert to fraction form
    8,478.67/12,716.92 = 2,239.20/x
  3. Step 3: Cross multiply
    8,478.67x = 12,716.92 × 2,239.20
  4. Step 4: Simplify right side
    8,478.67x = 28,475,727.26
  5. Step 5: Solve for x
    x = 28,475,727.26/8,478.67
  6. Step 6: Final answer
    x = 3,358.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.