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Finding the Fourth Proportional to 8,310.50, 12,462.11 and 3,112.73

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Solution

The fourth proportional to 8,310.50, 12,462.11 and 3,112.73 is: 4,667.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.50 : 12,462.11 = 3,112.73 : x
  2. Step 2: Convert to fraction form
    8,310.50/12,462.11 = 3,112.73/x
  3. Step 3: Cross multiply
    8,310.50x = 12,462.11 × 3,112.73
  4. Step 4: Simplify right side
    8,310.50x = 38,791,234.29
  5. Step 5: Solve for x
    x = 38,791,234.29/8,310.50
  6. Step 6: Final answer
    x = 4,667.74

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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.