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Finding the Fourth Proportional to 8,231.76, 12,351.78 and 3,304.80

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Solution

The fourth proportional to 8,231.76, 12,351.78 and 3,304.80 is: 4,958.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.76 : 12,351.78 = 3,304.80 : x
  2. Step 2: Convert to fraction form
    8,231.76/12,351.78 = 3,304.80/x
  3. Step 3: Cross multiply
    8,231.76x = 12,351.78 × 3,304.80
  4. Step 4: Simplify right side
    8,231.76x = 40,820,162.54
  5. Step 5: Solve for x
    x = 40,820,162.54/8,231.76
  6. Step 6: Final answer
    x = 4,958.86

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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.