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Finding the Fourth Proportional to 27,716.85, 41,581.44 and 7,993.89

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Solution

The fourth proportional to 27,716.85, 41,581.44 and 7,993.89 is: 11,992.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,716.85 : 41,581.44 = 7,993.89 : x
  2. Step 2: Convert to fraction form
    27,716.85/41,581.44 = 7,993.89/x
  3. Step 3: Cross multiply
    27,716.85x = 41,581.44 × 7,993.89
  4. Step 4: Simplify right side
    27,716.85x = 332,397,457.40
  5. Step 5: Solve for x
    x = 332,397,457.40/27,716.85
  6. Step 6: Final answer
    x = 11,992.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.