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Finding the Fourth Proportional to 11,896.68, 17,856.09 and 6,057.66

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Solution

The fourth proportional to 11,896.68, 17,856.09 and 6,057.66 is: 9,092.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.68 : 17,856.09 = 6,057.66 : x
  2. Step 2: Convert to fraction form
    11,896.68/17,856.09 = 6,057.66/x
  3. Step 3: Cross multiply
    11,896.68x = 17,856.09 × 6,057.66
  4. Step 4: Simplify right side
    11,896.68x = 108,166,122.15
  5. Step 5: Solve for x
    x = 108,166,122.15/11,896.68
  6. Step 6: Final answer
    x = 9,092.13

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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.