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Finding the Fourth Proportional to 8,286.41, 12,429.61 and 6,822.49

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Solution

The fourth proportional to 8,286.41, 12,429.61 and 6,822.49 is: 10,233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.41 : 12,429.61 = 6,822.49 : x
  2. Step 2: Convert to fraction form
    8,286.41/12,429.61 = 6,822.49/x
  3. Step 3: Cross multiply
    8,286.41x = 12,429.61 × 6,822.49
  4. Step 4: Simplify right side
    8,286.41x = 84,800,827.78
  5. Step 5: Solve for x
    x = 84,800,827.78/8,286.41
  6. Step 6: Final answer
    x = 10,233.72

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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.