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Finding the Fourth Proportional to 10,169.82, 15,257.16 and 5,239.08

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Solution

The fourth proportional to 10,169.82, 15,257.16 and 5,239.08 is: 7,859.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,169.82 : 15,257.16 = 5,239.08 : x
  2. Step 2: Convert to fraction form
    10,169.82/15,257.16 = 5,239.08/x
  3. Step 3: Cross multiply
    10,169.82x = 15,257.16 × 5,239.08
  4. Step 4: Simplify right side
    10,169.82x = 79,933,481.81
  5. Step 5: Solve for x
    x = 79,933,481.81/10,169.82
  6. Step 6: Final answer
    x = 7,859.87

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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.