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Finding the Fourth Proportional to 11,896.31, 17,855.53 and 6,057.29

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Solution

The fourth proportional to 11,896.31, 17,855.53 and 6,057.29 is: 9,091.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.31 : 17,855.53 = 6,057.29 : x
  2. Step 2: Convert to fraction form
    11,896.31/17,855.53 = 6,057.29/x
  3. Step 3: Cross multiply
    11,896.31x = 17,855.53 × 6,057.29
  4. Step 4: Simplify right side
    11,896.31x = 108,156,018.89
  5. Step 5: Solve for x
    x = 108,156,018.89/11,896.31
  6. Step 6: Final answer
    x = 9,091.56

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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.