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Finding the Fourth Proportional to 27,371.76, 41,057.04 and 7,649.92

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Solution

The fourth proportional to 27,371.76, 41,057.04 and 7,649.92 is: 11,474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,371.76 : 41,057.04 = 7,649.92 : x
  2. Step 2: Convert to fraction form
    27,371.76/41,057.04 = 7,649.92/x
  3. Step 3: Cross multiply
    27,371.76x = 41,057.04 × 7,649.92
  4. Step 4: Simplify right side
    27,371.76x = 314,083,071.44
  5. Step 5: Solve for x
    x = 314,083,071.44/27,371.76
  6. Step 6: Final answer
    x = 11,474.71

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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.