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Finding the Fourth Proportional to 6,772.80, 10,155.84 and 2,155.20

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Solution

The fourth proportional to 6,772.80, 10,155.84 and 2,155.20 is: 3,231.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.80 : 10,155.84 = 2,155.20 : x
  2. Step 2: Convert to fraction form
    6,772.80/10,155.84 = 2,155.20/x
  3. Step 3: Cross multiply
    6,772.80x = 10,155.84 × 2,155.20
  4. Step 4: Simplify right side
    6,772.80x = 21,887,866.37
  5. Step 5: Solve for x
    x = 21,887,866.37/6,772.80
  6. Step 6: Final answer
    x = 3,231.73

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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.