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Finding the Fourth Proportional to 11,791.53, 17,687.60 and 3,471.83

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Solution

The fourth proportional to 11,791.53, 17,687.60 and 3,471.83 is: 5,207.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.53 : 17,687.60 = 3,471.83 : x
  2. Step 2: Convert to fraction form
    11,791.53/17,687.60 = 3,471.83/x
  3. Step 3: Cross multiply
    11,791.53x = 17,687.60 × 3,471.83
  4. Step 4: Simplify right side
    11,791.53x = 61,408,313.86
  5. Step 5: Solve for x
    x = 61,408,313.86/11,791.53
  6. Step 6: Final answer
    x = 5,207.83

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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.