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Finding the Fourth Proportional to 10,238.53, 15,348.65 and 3,997.09

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Solution

The fourth proportional to 10,238.53, 15,348.65 and 3,997.09 is: 5,992.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.53 : 15,348.65 = 3,997.09 : x
  2. Step 2: Convert to fraction form
    10,238.53/15,348.65 = 3,997.09/x
  3. Step 3: Cross multiply
    10,238.53x = 15,348.65 × 3,997.09
  4. Step 4: Simplify right side
    10,238.53x = 61,349,945.42
  5. Step 5: Solve for x
    x = 61,349,945.42/10,238.53
  6. Step 6: Final answer
    x = 5,992.07

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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.