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Finding the Fourth Proportional to 27,662.31, 41,493.26 and 7,940.84

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Solution

The fourth proportional to 27,662.31, 41,493.26 and 7,940.84 is: 11,911.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,662.31 : 41,493.26 = 7,940.84 : x
  2. Step 2: Convert to fraction form
    27,662.31/41,493.26 = 7,940.84/x
  3. Step 3: Cross multiply
    27,662.31x = 41,493.26 × 7,940.84
  4. Step 4: Simplify right side
    27,662.31x = 329,491,151.12
  5. Step 5: Solve for x
    x = 329,491,151.12/27,662.31
  6. Step 6: Final answer
    x = 11,911.19

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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.