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Finding the Fourth Proportional to 8,105.78, 12,163.54 and 2,912.06

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Solution

The fourth proportional to 8,105.78, 12,163.54 and 2,912.06 is: 4,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.78 : 12,163.54 = 2,912.06 : x
  2. Step 2: Convert to fraction form
    8,105.78/12,163.54 = 2,912.06/x
  3. Step 3: Cross multiply
    8,105.78x = 12,163.54 × 2,912.06
  4. Step 4: Simplify right side
    8,105.78x = 35,420,958.29
  5. Step 5: Solve for x
    x = 35,420,958.29/8,105.78
  6. Step 6: Final answer
    x = 4,369.84

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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.