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Finding the Fourth Proportional to 27,817.19, 41,725.79 and 6,757.10

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Solution

The fourth proportional to 27,817.19, 41,725.79 and 6,757.10 is: 10,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817.19 : 41,725.79 = 6,757.10 : x
  2. Step 2: Convert to fraction form
    27,817.19/41,725.79 = 6,757.10/x
  3. Step 3: Cross multiply
    27,817.19x = 41,725.79 × 6,757.10
  4. Step 4: Simplify right side
    27,817.19x = 281,945,301.82
  5. Step 5: Solve for x
    x = 281,945,301.82/27,817.19
  6. Step 6: Final answer
    x = 10,135.65

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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.