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Finding the Fourth Proportional to 8,292.68, 12,439.72 and 2,449.54

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Solution

The fourth proportional to 8,292.68, 12,439.72 and 2,449.54 is: 3,674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.68 : 12,439.72 = 2,449.54 : x
  2. Step 2: Convert to fraction form
    8,292.68/12,439.72 = 2,449.54/x
  3. Step 3: Cross multiply
    8,292.68x = 12,439.72 × 2,449.54
  4. Step 4: Simplify right side
    8,292.68x = 30,471,529.53
  5. Step 5: Solve for x
    x = 30,471,529.53/8,292.68
  6. Step 6: Final answer
    x = 3,674.51

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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.