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Finding the Fourth Proportional to 11,896.38, 17,855.10 and 6,056.28

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Solution

The fourth proportional to 11,896.38, 17,855.10 and 6,056.28 is: 9,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.38 : 17,855.10 = 6,056.28 : x
  2. Step 2: Convert to fraction form
    11,896.38/17,855.10 = 6,056.28/x
  3. Step 3: Cross multiply
    11,896.38x = 17,855.10 × 6,056.28
  4. Step 4: Simplify right side
    11,896.38x = 108,135,485.03
  5. Step 5: Solve for x
    x = 108,135,485.03/11,896.38
  6. Step 6: Final answer
    x = 9,089.78

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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.