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Finding the Fourth Proportional to 27,539.82, 41,309.67 and 7,818.57

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Solution

The fourth proportional to 27,539.82, 41,309.67 and 7,818.57 is: 11,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,539.82 : 41,309.67 = 7,818.57 : x
  2. Step 2: Convert to fraction form
    27,539.82/41,309.67 = 7,818.57/x
  3. Step 3: Cross multiply
    27,539.82x = 41,309.67 × 7,818.57
  4. Step 4: Simplify right side
    27,539.82x = 322,982,546.57
  5. Step 5: Solve for x
    x = 322,982,546.57/27,539.82
  6. Step 6: Final answer
    x = 11,727.84

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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.