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Finding the Fourth Proportional to 11,895.97, 17,846 and 3,999.24

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Solution

The fourth proportional to 11,895.97, 17,846 and 3,999.24 is: 5,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.97 : 17,846 = 3,999.24 : x
  2. Step 2: Convert to fraction form
    11,895.97/17,846 = 3,999.24/x
  3. Step 3: Cross multiply
    11,895.97x = 17,846 × 3,999.24
  4. Step 4: Simplify right side
    11,895.97x = 71,370,437.04
  5. Step 5: Solve for x
    x = 71,370,437.04/11,895.97
  6. Step 6: Final answer
    x = 5,999.55

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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.