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Finding the Fourth Proportional to 8,456.73, 11,675.63 and 5,772.44

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Solution

The fourth proportional to 8,456.73, 11,675.63 and 5,772.44 is: 7,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.73 : 11,675.63 = 5,772.44 : x
  2. Step 2: Convert to fraction form
    8,456.73/11,675.63 = 5,772.44/x
  3. Step 3: Cross multiply
    8,456.73x = 11,675.63 × 5,772.44
  4. Step 4: Simplify right side
    8,456.73x = 67,396,873.64
  5. Step 5: Solve for x
    x = 67,396,873.64/8,456.73
  6. Step 6: Final answer
    x = 7,969.61

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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.