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Finding the Fourth Proportional to 11,816.10, 17,724.15 and 8,107.09

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Solution

The fourth proportional to 11,816.10, 17,724.15 and 8,107.09 is: 12,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.10 : 17,724.15 = 8,107.09 : x
  2. Step 2: Convert to fraction form
    11,816.10/17,724.15 = 8,107.09/x
  3. Step 3: Cross multiply
    11,816.10x = 17,724.15 × 8,107.09
  4. Step 4: Simplify right side
    11,816.10x = 143,691,234.91
  5. Step 5: Solve for x
    x = 143,691,234.91/11,816.10
  6. Step 6: Final answer
    x = 12,160.63

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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.