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Finding the Fourth Proportional to 27,657.56, 41,486.25 and 6,881.06

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Solution

The fourth proportional to 27,657.56, 41,486.25 and 6,881.06 is: 10,321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.56 : 41,486.25 = 6,881.06 : x
  2. Step 2: Convert to fraction form
    27,657.56/41,486.25 = 6,881.06/x
  3. Step 3: Cross multiply
    27,657.56x = 41,486.25 × 6,881.06
  4. Step 4: Simplify right side
    27,657.56x = 285,469,375.43
  5. Step 5: Solve for x
    x = 285,469,375.43/27,657.56
  6. Step 6: Final answer
    x = 10,321.57

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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.