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Finding the Fourth Proportional to 11,436.78, 17,149.68 and 4,859.36

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Solution

The fourth proportional to 11,436.78, 17,149.68 and 4,859.36 is: 7,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436.78 : 17,149.68 = 4,859.36 : x
  2. Step 2: Convert to fraction form
    11,436.78/17,149.68 = 4,859.36/x
  3. Step 3: Cross multiply
    11,436.78x = 17,149.68 × 4,859.36
  4. Step 4: Simplify right side
    11,436.78x = 83,336,469.00
  5. Step 5: Solve for x
    x = 83,336,469.00/11,436.78
  6. Step 6: Final answer
    x = 7,286.71

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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.