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Finding the Fourth Proportional to 8,304.41, 12,454.49 and 2,459.65

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Solution

The fourth proportional to 8,304.41, 12,454.49 and 2,459.65 is: 3,688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.41 : 12,454.49 = 2,459.65 : x
  2. Step 2: Convert to fraction form
    8,304.41/12,454.49 = 2,459.65/x
  3. Step 3: Cross multiply
    8,304.41x = 12,454.49 × 2,459.65
  4. Step 4: Simplify right side
    8,304.41x = 30,633,723.61
  5. Step 5: Solve for x
    x = 30,633,723.61/8,304.41
  6. Step 6: Final answer
    x = 3,688.85

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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.