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Finding the Fourth Proportional to 8,227.70, 12,344.43 and 2,384.66

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Solution

The fourth proportional to 8,227.70, 12,344.43 and 2,384.66 is: 3,577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.70 : 12,344.43 = 2,384.66 : x
  2. Step 2: Convert to fraction form
    8,227.70/12,344.43 = 2,384.66/x
  3. Step 3: Cross multiply
    8,227.70x = 12,344.43 × 2,384.66
  4. Step 4: Simplify right side
    8,227.70x = 29,437,268.44
  5. Step 5: Solve for x
    x = 29,437,268.44/8,227.70
  6. Step 6: Final answer
    x = 3,577.82

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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.