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Finding the Fourth Proportional to 7,788.37, 11,682.17 and 2,857.62

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Solution

The fourth proportional to 7,788.37, 11,682.17 and 2,857.62 is: 4,286.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.37 : 11,682.17 = 2,857.62 : x
  2. Step 2: Convert to fraction form
    7,788.37/11,682.17 = 2,857.62/x
  3. Step 3: Cross multiply
    7,788.37x = 11,682.17 × 2,857.62
  4. Step 4: Simplify right side
    7,788.37x = 33,383,232.65
  5. Step 5: Solve for x
    x = 33,383,232.65/7,788.37
  6. Step 6: Final answer
    x = 4,286.29

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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.