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Finding the Fourth Proportional to 27,785.85, 41,677.29 and 7,796.70

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Solution

The fourth proportional to 27,785.85, 41,677.29 and 7,796.70 is: 11,694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.85 : 41,677.29 = 7,796.70 : x
  2. Step 2: Convert to fraction form
    27,785.85/41,677.29 = 7,796.70/x
  3. Step 3: Cross multiply
    27,785.85x = 41,677.29 × 7,796.70
  4. Step 4: Simplify right side
    27,785.85x = 324,945,326.94
  5. Step 5: Solve for x
    x = 324,945,326.94/27,785.85
  6. Step 6: Final answer
    x = 11,694.63

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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.