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Finding the Fourth Proportional to 6,855.60, 10,286.37 and 6,560.31

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Solution

The fourth proportional to 6,855.60, 10,286.37 and 6,560.31 is: 9,843.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.60 : 10,286.37 = 6,560.31 : x
  2. Step 2: Convert to fraction form
    6,855.60/10,286.37 = 6,560.31/x
  3. Step 3: Cross multiply
    6,855.60x = 10,286.37 × 6,560.31
  4. Step 4: Simplify right side
    6,855.60x = 67,481,775.97
  5. Step 5: Solve for x
    x = 67,481,775.97/6,855.60
  6. Step 6: Final answer
    x = 9,843.31

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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.