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Finding the Fourth Proportional to 11,561.69, 17,331.37 and 5,326

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Solution

The fourth proportional to 11,561.69, 17,331.37 and 5,326 is: 7,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.69 : 17,331.37 = 5,326 : x
  2. Step 2: Convert to fraction form
    11,561.69/17,331.37 = 5,326/x
  3. Step 3: Cross multiply
    11,561.69x = 17,331.37 × 5,326
  4. Step 4: Simplify right side
    11,561.69x = 92,306,876.62
  5. Step 5: Solve for x
    x = 92,306,876.62/11,561.69
  6. Step 6: Final answer
    x = 7,983.86

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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.