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Finding the Fourth Proportional to 11,627.28, 16,040.22 and 7,149.24

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Solution

The fourth proportional to 11,627.28, 16,040.22 and 7,149.24 is: 9,862.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.28 : 16,040.22 = 7,149.24 : x
  2. Step 2: Convert to fraction form
    11,627.28/16,040.22 = 7,149.24/x
  3. Step 3: Cross multiply
    11,627.28x = 16,040.22 × 7,149.24
  4. Step 4: Simplify right side
    11,627.28x = 114,675,382.43
  5. Step 5: Solve for x
    x = 114,675,382.43/11,627.28
  6. Step 6: Final answer
    x = 9,862.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.