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Finding the Fourth Proportional to 8,225.82, 12,327.66 and 3,833.73

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Solution

The fourth proportional to 8,225.82, 12,327.66 and 3,833.73 is: 5,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.82 : 12,327.66 = 3,833.73 : x
  2. Step 2: Convert to fraction form
    8,225.82/12,327.66 = 3,833.73/x
  3. Step 3: Cross multiply
    8,225.82x = 12,327.66 × 3,833.73
  4. Step 4: Simplify right side
    8,225.82x = 47,260,919.97
  5. Step 5: Solve for x
    x = 47,260,919.97/8,225.82
  6. Step 6: Final answer
    x = 5,745.44

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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.