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Finding the Fourth Proportional to 27,540.15, 41,311.80 and 7,817.16

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Solution

The fourth proportional to 27,540.15, 41,311.80 and 7,817.16 is: 11,726.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,540.15 : 41,311.80 = 7,817.16 : x
  2. Step 2: Convert to fraction form
    27,540.15/41,311.80 = 7,817.16/x
  3. Step 3: Cross multiply
    27,540.15x = 41,311.80 × 7,817.16
  4. Step 4: Simplify right side
    27,540.15x = 322,940,950.49
  5. Step 5: Solve for x
    x = 322,940,950.49/27,540.15
  6. Step 6: Final answer
    x = 11,726.19

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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.