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Finding the Fourth Proportional to 8,231.72, 12,353.38 and 3,302.73

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Solution

The fourth proportional to 8,231.72, 12,353.38 and 3,302.73 is: 4,956.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.72 : 12,353.38 = 3,302.73 : x
  2. Step 2: Convert to fraction form
    8,231.72/12,353.38 = 3,302.73/x
  3. Step 3: Cross multiply
    8,231.72x = 12,353.38 × 3,302.73
  4. Step 4: Simplify right side
    8,231.72x = 40,799,870.47
  5. Step 5: Solve for x
    x = 40,799,870.47/8,231.72
  6. Step 6: Final answer
    x = 4,956.42

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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.