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Finding the Fourth Proportional to 6,789.87, 10,183.46 and 1,858.23

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Solution

The fourth proportional to 6,789.87, 10,183.46 and 1,858.23 is: 2,786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.87 : 10,183.46 = 1,858.23 : x
  2. Step 2: Convert to fraction form
    6,789.87/10,183.46 = 1,858.23/x
  3. Step 3: Cross multiply
    6,789.87x = 10,183.46 × 1,858.23
  4. Step 4: Simplify right side
    6,789.87x = 18,923,201.58
  5. Step 5: Solve for x
    x = 18,923,201.58/6,789.87
  6. Step 6: Final answer
    x = 2,786.98

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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.