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Finding the Fourth Proportional to 11,516.38, 17,253.61 and 7,998.95

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Solution

The fourth proportional to 11,516.38, 17,253.61 and 7,998.95 is: 11,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.38 : 17,253.61 = 7,998.95 : x
  2. Step 2: Convert to fraction form
    11,516.38/17,253.61 = 7,998.95/x
  3. Step 3: Cross multiply
    11,516.38x = 17,253.61 × 7,998.95
  4. Step 4: Simplify right side
    11,516.38x = 138,010,786.85
  5. Step 5: Solve for x
    x = 138,010,786.85/11,516.38
  6. Step 6: Final answer
    x = 11,983.87

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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.