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Finding the Fourth Proportional to 8,222.56, 12,337.89 and 3,839.38

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Solution

The fourth proportional to 8,222.56, 12,337.89 and 3,839.38 is: 5,760.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.56 : 12,337.89 = 3,839.38 : x
  2. Step 2: Convert to fraction form
    8,222.56/12,337.89 = 3,839.38/x
  3. Step 3: Cross multiply
    8,222.56x = 12,337.89 × 3,839.38
  4. Step 4: Simplify right side
    8,222.56x = 47,369,848.11
  5. Step 5: Solve for x
    x = 47,369,848.11/8,222.56
  6. Step 6: Final answer
    x = 5,760.96

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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.