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Finding the Fourth Proportional to 8,505.14, 12,758.38 and 2,661.73

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Solution

The fourth proportional to 8,505.14, 12,758.38 and 2,661.73 is: 3,992.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.14 : 12,758.38 = 2,661.73 : x
  2. Step 2: Convert to fraction form
    8,505.14/12,758.38 = 2,661.73/x
  3. Step 3: Cross multiply
    8,505.14x = 12,758.38 × 2,661.73
  4. Step 4: Simplify right side
    8,505.14x = 33,959,324.25
  5. Step 5: Solve for x
    x = 33,959,324.25/8,505.14
  6. Step 6: Final answer
    x = 3,992.80

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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.