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Finding the Fourth Proportional to 27,537.12, 41,305.82 and 6,760.62

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Solution

The fourth proportional to 27,537.12, 41,305.82 and 6,760.62 is: 10,140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,537.12 : 41,305.82 = 6,760.62 : x
  2. Step 2: Convert to fraction form
    27,537.12/41,305.82 = 6,760.62/x
  3. Step 3: Cross multiply
    27,537.12x = 41,305.82 × 6,760.62
  4. Step 4: Simplify right side
    27,537.12x = 279,252,919.01
  5. Step 5: Solve for x
    x = 279,252,919.01/27,537.12
  6. Step 6: Final answer
    x = 10,140.96

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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.