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Finding the Fourth Proportional to 7,788.26, 11,687.24 and 3,171.26

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Solution

The fourth proportional to 7,788.26, 11,687.24 and 3,171.26 is: 4,758.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.26 : 11,687.24 = 3,171.26 : x
  2. Step 2: Convert to fraction form
    7,788.26/11,687.24 = 3,171.26/x
  3. Step 3: Cross multiply
    7,788.26x = 11,687.24 × 3,171.26
  4. Step 4: Simplify right side
    7,788.26x = 37,063,276.72
  5. Step 5: Solve for x
    x = 37,063,276.72/7,788.26
  6. Step 6: Final answer
    x = 4,758.86

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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.