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Finding the Fourth Proportional to 27,726.09, 41,576.78 and 7,999.96

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Solution

The fourth proportional to 27,726.09, 41,576.78 and 7,999.96 is: 11,996.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,726.09 : 41,576.78 = 7,999.96 : x
  2. Step 2: Convert to fraction form
    27,726.09/41,576.78 = 7,999.96/x
  3. Step 3: Cross multiply
    27,726.09x = 41,576.78 × 7,999.96
  4. Step 4: Simplify right side
    27,726.09x = 332,612,329.05
  5. Step 5: Solve for x
    x = 332,612,329.05/27,726.09
  6. Step 6: Final answer
    x = 11,996.37

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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.