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Finding the Fourth Proportional to 8,511.26, 11,744.73 and 7,884.32

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Solution

The fourth proportional to 8,511.26, 11,744.73 and 7,884.32 is: 10,879.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.26 : 11,744.73 = 7,884.32 : x
  2. Step 2: Convert to fraction form
    8,511.26/11,744.73 = 7,884.32/x
  3. Step 3: Cross multiply
    8,511.26x = 11,744.73 × 7,884.32
  4. Step 4: Simplify right side
    8,511.26x = 92,599,150.91
  5. Step 5: Solve for x
    x = 92,599,150.91/8,511.26
  6. Step 6: Final answer
    x = 10,879.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.