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Finding the Fourth Proportional to 8,012.70, 12,020.52 and 2,747.46

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Solution

The fourth proportional to 8,012.70, 12,020.52 and 2,747.46 is: 4,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.70 : 12,020.52 = 2,747.46 : x
  2. Step 2: Convert to fraction form
    8,012.70/12,020.52 = 2,747.46/x
  3. Step 3: Cross multiply
    8,012.70x = 12,020.52 × 2,747.46
  4. Step 4: Simplify right side
    8,012.70x = 33,025,897.88
  5. Step 5: Solve for x
    x = 33,025,897.88/8,012.70
  6. Step 6: Final answer
    x = 4,121.69

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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.