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Finding the Fourth Proportional to 11,896.25, 17,844.50 and 4,874.46

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Solution

The fourth proportional to 11,896.25, 17,844.50 and 4,874.46 is: 7,311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.25 : 17,844.50 = 4,874.46 : x
  2. Step 2: Convert to fraction form
    11,896.25/17,844.50 = 4,874.46/x
  3. Step 3: Cross multiply
    11,896.25x = 17,844.50 × 4,874.46
  4. Step 4: Simplify right side
    11,896.25x = 86,982,187.88
  5. Step 5: Solve for x
    x = 86,982,187.88/11,896.25
  6. Step 6: Final answer
    x = 7,311.73

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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.