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Finding the Fourth Proportional to 11,906.28, 17,846.46 and 8,001

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Solution

The fourth proportional to 11,906.28, 17,846.46 and 8,001 is: 11,992.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.28 : 17,846.46 = 8,001 : x
  2. Step 2: Convert to fraction form
    11,906.28/17,846.46 = 8,001/x
  3. Step 3: Cross multiply
    11,906.28x = 17,846.46 × 8,001
  4. Step 4: Simplify right side
    11,906.28x = 142,789,526.46
  5. Step 5: Solve for x
    x = 142,789,526.46/11,906.28
  6. Step 6: Final answer
    x = 11,992.79

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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.