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Finding the Fourth Proportional to 27,828.78, 41,750 and 8,107.52

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Solution

The fourth proportional to 27,828.78, 41,750 and 8,107.52 is: 12,163.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,828.78 : 41,750 = 8,107.52 : x
  2. Step 2: Convert to fraction form
    27,828.78/41,750 = 8,107.52/x
  3. Step 3: Cross multiply
    27,828.78x = 41,750 × 8,107.52
  4. Step 4: Simplify right side
    27,828.78x = 338,488,960
  5. Step 5: Solve for x
    x = 338,488,960/27,828.78
  6. Step 6: Final answer
    x = 12,163.27

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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.