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Finding the Fourth Proportional to 27,760.13, 41,639.82 and 6,699.99

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Solution

The fourth proportional to 27,760.13, 41,639.82 and 6,699.99 is: 10,049.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,760.13 : 41,639.82 = 6,699.99 : x
  2. Step 2: Convert to fraction form
    27,760.13/41,639.82 = 6,699.99/x
  3. Step 3: Cross multiply
    27,760.13x = 41,639.82 × 6,699.99
  4. Step 4: Simplify right side
    27,760.13x = 278,986,377.60
  5. Step 5: Solve for x
    x = 278,986,377.60/27,760.13
  6. Step 6: Final answer
    x = 10,049.89

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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.