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Finding the Fourth Proportional to 8,277.20, 12,414.84 and 2,433.68

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Solution

The fourth proportional to 8,277.20, 12,414.84 and 2,433.68 is: 3,650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.20 : 12,414.84 = 2,433.68 : x
  2. Step 2: Convert to fraction form
    8,277.20/12,414.84 = 2,433.68/x
  3. Step 3: Cross multiply
    8,277.20x = 12,414.84 × 2,433.68
  4. Step 4: Simplify right side
    8,277.20x = 30,213,747.81
  5. Step 5: Solve for x
    x = 30,213,747.81/8,277.20
  6. Step 6: Final answer
    x = 3,650.24

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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.