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Finding the Fourth Proportional to 8,227.87, 12,313.09 and 6,729.78

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Solution

The fourth proportional to 8,227.87, 12,313.09 and 6,729.78 is: 10,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.87 : 12,313.09 = 6,729.78 : x
  2. Step 2: Convert to fraction form
    8,227.87/12,313.09 = 6,729.78/x
  3. Step 3: Cross multiply
    8,227.87x = 12,313.09 × 6,729.78
  4. Step 4: Simplify right side
    8,227.87x = 82,864,386.82
  5. Step 5: Solve for x
    x = 82,864,386.82/8,227.87
  6. Step 6: Final answer
    x = 10,071.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.