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Finding the Fourth Proportional to 11,930.52, 17,868.52 and 5,694.92

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Solution

The fourth proportional to 11,930.52, 17,868.52 and 5,694.92 is: 8,529.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.52 : 17,868.52 = 5,694.92 : x
  2. Step 2: Convert to fraction form
    11,930.52/17,868.52 = 5,694.92/x
  3. Step 3: Cross multiply
    11,930.52x = 17,868.52 × 5,694.92
  4. Step 4: Simplify right side
    11,930.52x = 101,759,791.92
  5. Step 5: Solve for x
    x = 101,759,791.92/11,930.52
  6. Step 6: Final answer
    x = 8,529.37

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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.