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Finding the Fourth Proportional to 8,227.41, 12,343.39 and 2,680.63

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Solution

The fourth proportional to 8,227.41, 12,343.39 and 2,680.63 is: 4,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.41 : 12,343.39 = 2,680.63 : x
  2. Step 2: Convert to fraction form
    8,227.41/12,343.39 = 2,680.63/x
  3. Step 3: Cross multiply
    8,227.41x = 12,343.39 × 2,680.63
  4. Step 4: Simplify right side
    8,227.41x = 33,088,023.98
  5. Step 5: Solve for x
    x = 33,088,023.98/8,227.41
  6. Step 6: Final answer
    x = 4,021.68

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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.