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Finding the Fourth Proportional to 8,234.29, 12,351.50 and 2,687.52

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Solution

The fourth proportional to 8,234.29, 12,351.50 and 2,687.52 is: 4,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.29 : 12,351.50 = 2,687.52 : x
  2. Step 2: Convert to fraction form
    8,234.29/12,351.50 = 2,687.52/x
  3. Step 3: Cross multiply
    8,234.29x = 12,351.50 × 2,687.52
  4. Step 4: Simplify right side
    8,234.29x = 33,194,903.28
  5. Step 5: Solve for x
    x = 33,194,903.28/8,234.29
  6. Step 6: Final answer
    x = 4,031.30

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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.