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Finding the Fourth Proportional to 10,238.85, 15,357.54 and 3,997.69

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Solution

The fourth proportional to 10,238.85, 15,357.54 and 3,997.69 is: 5,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.85 : 15,357.54 = 3,997.69 : x
  2. Step 2: Convert to fraction form
    10,238.85/15,357.54 = 3,997.69/x
  3. Step 3: Cross multiply
    10,238.85x = 15,357.54 × 3,997.69
  4. Step 4: Simplify right side
    10,238.85x = 61,394,684.08
  5. Step 5: Solve for x
    x = 61,394,684.08/10,238.85
  6. Step 6: Final answer
    x = 5,996.25

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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.