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Finding the Fourth Proportional to 11,896.73, 17,846.31 and 4,103.72

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Solution

The fourth proportional to 11,896.73, 17,846.31 and 4,103.72 is: 6,155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.73 : 17,846.31 = 4,103.72 : x
  2. Step 2: Convert to fraction form
    11,896.73/17,846.31 = 4,103.72/x
  3. Step 3: Cross multiply
    11,896.73x = 17,846.31 × 4,103.72
  4. Step 4: Simplify right side
    11,896.73x = 73,236,170.04
  5. Step 5: Solve for x
    x = 73,236,170.04/11,896.73
  6. Step 6: Final answer
    x = 6,155.99

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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.