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Finding the Fourth Proportional to 27,910.78, 41,866.11 and 7,134.22

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Solution

The fourth proportional to 27,910.78, 41,866.11 and 7,134.22 is: 10,701.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,910.78 : 41,866.11 = 7,134.22 : x
  2. Step 2: Convert to fraction form
    27,910.78/41,866.11 = 7,134.22/x
  3. Step 3: Cross multiply
    27,910.78x = 41,866.11 × 7,134.22
  4. Step 4: Simplify right side
    27,910.78x = 298,682,039.28
  5. Step 5: Solve for x
    x = 298,682,039.28/27,910.78
  6. Step 6: Final answer
    x = 10,701.31

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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.