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Finding the Fourth Proportional to 8,269.92, 12,407.44 and 2,426.64

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Solution

The fourth proportional to 8,269.92, 12,407.44 and 2,426.64 is: 3,640.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.92 : 12,407.44 = 2,426.64 : x
  2. Step 2: Convert to fraction form
    8,269.92/12,407.44 = 2,426.64/x
  3. Step 3: Cross multiply
    8,269.92x = 12,407.44 × 2,426.64
  4. Step 4: Simplify right side
    8,269.92x = 30,108,390.20
  5. Step 5: Solve for x
    x = 30,108,390.20/8,269.92
  6. Step 6: Final answer
    x = 3,640.71

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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.