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Finding the Fourth Proportional to 11,896.94, 17,849.02 and 3,998.54

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Solution

The fourth proportional to 11,896.94, 17,849.02 and 3,998.54 is: 5,999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.94 : 17,849.02 = 3,998.54 : x
  2. Step 2: Convert to fraction form
    11,896.94/17,849.02 = 3,998.54/x
  3. Step 3: Cross multiply
    11,896.94x = 17,849.02 × 3,998.54
  4. Step 4: Simplify right side
    11,896.94x = 71,370,020.43
  5. Step 5: Solve for x
    x = 71,370,020.43/11,896.94
  6. Step 6: Final answer
    x = 5,999.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.