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Finding the Fourth Proportional to 27,817.35, 41,725.44 and 6,757.49

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Solution

The fourth proportional to 27,817.35, 41,725.44 and 6,757.49 is: 10,136.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817.35 : 41,725.44 = 6,757.49 : x
  2. Step 2: Convert to fraction form
    27,817.35/41,725.44 = 6,757.49/x
  3. Step 3: Cross multiply
    27,817.35x = 41,725.44 × 6,757.49
  4. Step 4: Simplify right side
    27,817.35x = 281,959,209.76
  5. Step 5: Solve for x
    x = 281,959,209.76/27,817.35
  6. Step 6: Final answer
    x = 10,136.09

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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.