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Finding the Fourth Proportional to 8,301.68, 12,449 and 2,753.54

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Solution

The fourth proportional to 8,301.68, 12,449 and 2,753.54 is: 4,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.68 : 12,449 = 2,753.54 : x
  2. Step 2: Convert to fraction form
    8,301.68/12,449 = 2,753.54/x
  3. Step 3: Cross multiply
    8,301.68x = 12,449 × 2,753.54
  4. Step 4: Simplify right side
    8,301.68x = 34,278,819.46
  5. Step 5: Solve for x
    x = 34,278,819.46/8,301.68
  6. Step 6: Final answer
    x = 4,129.14

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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.