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Finding the Fourth Proportional to 11,995.27, 17,998.08 and 6,442.12

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Solution

The fourth proportional to 11,995.27, 17,998.08 and 6,442.12 is: 9,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,995.27 : 17,998.08 = 6,442.12 : x
  2. Step 2: Convert to fraction form
    11,995.27/17,998.08 = 6,442.12/x
  3. Step 3: Cross multiply
    11,995.27x = 17,998.08 × 6,442.12
  4. Step 4: Simplify right side
    11,995.27x = 115,945,791.13
  5. Step 5: Solve for x
    x = 115,945,791.13/11,995.27
  6. Step 6: Final answer
    x = 9,665.96

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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.