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Finding the Fourth Proportional to 27,972.12, 41,958.24 and 7,194

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Solution

The fourth proportional to 27,972.12, 41,958.24 and 7,194 is: 10,791.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,972.12 : 41,958.24 = 7,194 : x
  2. Step 2: Convert to fraction form
    27,972.12/41,958.24 = 7,194/x
  3. Step 3: Cross multiply
    27,972.12x = 41,958.24 × 7,194
  4. Step 4: Simplify right side
    27,972.12x = 301,847,578.56
  5. Step 5: Solve for x
    x = 301,847,578.56/27,972.12
  6. Step 6: Final answer
    x = 10,791.02

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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.