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Finding the Fourth Proportional to 11,443.92, 17,163.96 and 3,234

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Solution

The fourth proportional to 11,443.92, 17,163.96 and 3,234 is: 4,850.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.92 : 17,163.96 = 3,234 : x
  2. Step 2: Convert to fraction form
    11,443.92/17,163.96 = 3,234/x
  3. Step 3: Cross multiply
    11,443.92x = 17,163.96 × 3,234
  4. Step 4: Simplify right side
    11,443.92x = 55,508,246.64
  5. Step 5: Solve for x
    x = 55,508,246.64/11,443.92
  6. Step 6: Final answer
    x = 4,850.46

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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.