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Finding the Fourth Proportional to 11,553.75, 15,944.18 and 7,364.43

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Solution

The fourth proportional to 11,553.75, 15,944.18 and 7,364.43 is: 10,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.75 : 15,944.18 = 7,364.43 : x
  2. Step 2: Convert to fraction form
    11,553.75/15,944.18 = 7,364.43/x
  3. Step 3: Cross multiply
    11,553.75x = 15,944.18 × 7,364.43
  4. Step 4: Simplify right side
    11,553.75x = 117,419,760.70
  5. Step 5: Solve for x
    x = 117,419,760.70/11,553.75
  6. Step 6: Final answer
    x = 10,162.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.