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Finding the Fourth Proportional to 27,654.26, 41,481.18 and 6,877.76

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Solution

The fourth proportional to 27,654.26, 41,481.18 and 6,877.76 is: 10,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,654.26 : 41,481.18 = 6,877.76 : x
  2. Step 2: Convert to fraction form
    27,654.26/41,481.18 = 6,877.76/x
  3. Step 3: Cross multiply
    27,654.26x = 41,481.18 × 6,877.76
  4. Step 4: Simplify right side
    27,654.26x = 285,297,393.15
  5. Step 5: Solve for x
    x = 285,297,393.15/27,654.26
  6. Step 6: Final answer
    x = 10,316.58

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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.