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Finding the Fourth Proportional to 27,680.37, 41,516.07 and 7,954.44

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Solution

The fourth proportional to 27,680.37, 41,516.07 and 7,954.44 is: 11,930.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,680.37 : 41,516.07 = 7,954.44 : x
  2. Step 2: Convert to fraction form
    27,680.37/41,516.07 = 7,954.44/x
  3. Step 3: Cross multiply
    27,680.37x = 41,516.07 × 7,954.44
  4. Step 4: Simplify right side
    27,680.37x = 330,237,087.85
  5. Step 5: Solve for x
    x = 330,237,087.85/27,680.37
  6. Step 6: Final answer
    x = 11,930.37

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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.