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Finding the Fourth Proportional to 8,286.07, 12,429.11 and 6,822.15

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Solution

The fourth proportional to 8,286.07, 12,429.11 and 6,822.15 is: 10,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.07 : 12,429.11 = 6,822.15 : x
  2. Step 2: Convert to fraction form
    8,286.07/12,429.11 = 6,822.15/x
  3. Step 3: Cross multiply
    8,286.07x = 12,429.11 × 6,822.15
  4. Step 4: Simplify right side
    8,286.07x = 84,793,229.41
  5. Step 5: Solve for x
    x = 84,793,229.41/8,286.07
  6. Step 6: Final answer
    x = 10,233.22

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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.