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Finding the Fourth Proportional to 7,163.78, 10,744.52 and 1,968.44

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Solution

The fourth proportional to 7,163.78, 10,744.52 and 1,968.44 is: 2,952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.78 : 10,744.52 = 1,968.44 : x
  2. Step 2: Convert to fraction form
    7,163.78/10,744.52 = 1,968.44/x
  3. Step 3: Cross multiply
    7,163.78x = 10,744.52 × 1,968.44
  4. Step 4: Simplify right side
    7,163.78x = 21,149,879.38
  5. Step 5: Solve for x
    x = 21,149,879.38/7,163.78
  6. Step 6: Final answer
    x = 2,952.34

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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.