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Finding the Fourth Proportional to 7,163.94, 10,747.00 and 2,233.97

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Solution

The fourth proportional to 7,163.94, 10,747.00 and 2,233.97 is: 3,351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.94 : 10,747.00 = 2,233.97 : x
  2. Step 2: Convert to fraction form
    7,163.94/10,747.00 = 2,233.97/x
  3. Step 3: Cross multiply
    7,163.94x = 10,747.00 × 2,233.97
  4. Step 4: Simplify right side
    7,163.94x = 24,008,452.38
  5. Step 5: Solve for x
    x = 24,008,452.38/7,163.94
  6. Step 6: Final answer
    x = 3,351.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.