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Finding the Fourth Proportional to 8,291.72, 12,438.78 and 2,447.56

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Solution

The fourth proportional to 8,291.72, 12,438.78 and 2,447.56 is: 3,671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.72 : 12,438.78 = 2,447.56 : x
  2. Step 2: Convert to fraction form
    8,291.72/12,438.78 = 2,447.56/x
  3. Step 3: Cross multiply
    8,291.72x = 12,438.78 × 2,447.56
  4. Step 4: Simplify right side
    8,291.72x = 30,444,660.38
  5. Step 5: Solve for x
    x = 30,444,660.38/8,291.72
  6. Step 6: Final answer
    x = 3,671.69

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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.