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Finding the Fourth Proportional to 27,508.12, 41,262.18 and 7,786.85

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Solution

The fourth proportional to 27,508.12, 41,262.18 and 7,786.85 is: 11,680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,508.12 : 41,262.18 = 7,786.85 : x
  2. Step 2: Convert to fraction form
    27,508.12/41,262.18 = 7,786.85/x
  3. Step 3: Cross multiply
    27,508.12x = 41,262.18 × 7,786.85
  4. Step 4: Simplify right side
    27,508.12x = 321,302,170.82
  5. Step 5: Solve for x
    x = 321,302,170.82/27,508.12
  6. Step 6: Final answer
    x = 11,680.27

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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.