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Finding the Fourth Proportional to 8,286.78, 12,432.06 and 2,443.44

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Solution

The fourth proportional to 8,286.78, 12,432.06 and 2,443.44 is: 3,665.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.78 : 12,432.06 = 2,443.44 : x
  2. Step 2: Convert to fraction form
    8,286.78/12,432.06 = 2,443.44/x
  3. Step 3: Cross multiply
    8,286.78x = 12,432.06 × 2,443.44
  4. Step 4: Simplify right side
    8,286.78x = 30,376,992.69
  5. Step 5: Solve for x
    x = 30,376,992.69/8,286.78
  6. Step 6: Final answer
    x = 3,665.72

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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.