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Finding the Fourth Proportional to 8,216.19, 12,324.23 and 3,286.97

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Solution

The fourth proportional to 8,216.19, 12,324.23 and 3,286.97 is: 4,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.19 : 12,324.23 = 3,286.97 : x
  2. Step 2: Convert to fraction form
    8,216.19/12,324.23 = 3,286.97/x
  3. Step 3: Cross multiply
    8,216.19x = 12,324.23 × 3,286.97
  4. Step 4: Simplify right side
    8,216.19x = 40,509,374.28
  5. Step 5: Solve for x
    x = 40,509,374.28/8,216.19
  6. Step 6: Final answer
    x = 4,930.43

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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.