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Finding the Fourth Proportional to 27,937.31, 41,897.77 and 8,211.18

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Solution

The fourth proportional to 27,937.31, 41,897.77 and 8,211.18 is: 12,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,937.31 : 41,897.77 = 8,211.18 : x
  2. Step 2: Convert to fraction form
    27,937.31/41,897.77 = 8,211.18/x
  3. Step 3: Cross multiply
    27,937.31x = 41,897.77 × 8,211.18
  4. Step 4: Simplify right side
    27,937.31x = 344,030,110.54
  5. Step 5: Solve for x
    x = 344,030,110.54/27,937.31
  6. Step 6: Final answer
    x = 12,314.36

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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.