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Finding the Fourth Proportional to 8,231.74, 12,348.24 and 3,551.86

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Solution

The fourth proportional to 8,231.74, 12,348.24 and 3,551.86 is: 5,328.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.74 : 12,348.24 = 3,551.86 : x
  2. Step 2: Convert to fraction form
    8,231.74/12,348.24 = 3,551.86/x
  3. Step 3: Cross multiply
    8,231.74x = 12,348.24 × 3,551.86
  4. Step 4: Simplify right side
    8,231.74x = 43,859,219.73
  5. Step 5: Solve for x
    x = 43,859,219.73/8,231.74
  6. Step 6: Final answer
    x = 5,328.06

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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.