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Finding the Fourth Proportional to 27,133.78, 40,694.11 and 7,412.44

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Solution

The fourth proportional to 27,133.78, 40,694.11 and 7,412.44 is: 11,116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,133.78 : 40,694.11 = 7,412.44 : x
  2. Step 2: Convert to fraction form
    27,133.78/40,694.11 = 7,412.44/x
  3. Step 3: Cross multiply
    27,133.78x = 40,694.11 × 7,412.44
  4. Step 4: Simplify right side
    27,133.78x = 301,642,648.73
  5. Step 5: Solve for x
    x = 301,642,648.73/27,133.78
  6. Step 6: Final answer
    x = 11,116.87

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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.