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Finding the Fourth Proportional to 27,859.42, 41,789.31 and 7,082.98

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Solution

The fourth proportional to 27,859.42, 41,789.31 and 7,082.98 is: 10,624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,859.42 : 41,789.31 = 7,082.98 : x
  2. Step 2: Convert to fraction form
    27,859.42/41,789.31 = 7,082.98/x
  3. Step 3: Cross multiply
    27,859.42x = 41,789.31 × 7,082.98
  4. Step 4: Simplify right side
    27,859.42x = 295,992,846.94
  5. Step 5: Solve for x
    x = 295,992,846.94/27,859.42
  6. Step 6: Final answer
    x = 10,624.52

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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.