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Finding the Fourth Proportional to 10,003.89, 14,996.49 and 5,067.75

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Solution

The fourth proportional to 10,003.89, 14,996.49 and 5,067.75 is: 7,596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.89 : 14,996.49 = 5,067.75 : x
  2. Step 2: Convert to fraction form
    10,003.89/14,996.49 = 5,067.75/x
  3. Step 3: Cross multiply
    10,003.89x = 14,996.49 × 5,067.75
  4. Step 4: Simplify right side
    10,003.89x = 75,998,462.20
  5. Step 5: Solve for x
    x = 75,998,462.20/10,003.89
  6. Step 6: Final answer
    x = 7,596.89

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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.