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Finding the Fourth Proportional to 11,493.81, 17,231.94 and 5,943.61

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Solution

The fourth proportional to 11,493.81, 17,231.94 and 5,943.61 is: 8,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.81 : 17,231.94 = 5,943.61 : x
  2. Step 2: Convert to fraction form
    11,493.81/17,231.94 = 5,943.61/x
  3. Step 3: Cross multiply
    11,493.81x = 17,231.94 × 5,943.61
  4. Step 4: Simplify right side
    11,493.81x = 102,419,887.82
  5. Step 5: Solve for x
    x = 102,419,887.82/11,493.81
  6. Step 6: Final answer
    x = 8,910.87

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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.