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Finding the Fourth Proportional to 27,616.10, 41,425.50 and 7,897.56

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Solution

The fourth proportional to 27,616.10, 41,425.50 and 7,897.56 is: 11,846.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,616.10 : 41,425.50 = 7,897.56 : x
  2. Step 2: Convert to fraction form
    27,616.10/41,425.50 = 7,897.56/x
  3. Step 3: Cross multiply
    27,616.10x = 41,425.50 × 7,897.56
  4. Step 4: Simplify right side
    27,616.10x = 327,160,371.78
  5. Step 5: Solve for x
    x = 327,160,371.78/27,616.10
  6. Step 6: Final answer
    x = 11,846.73

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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.