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Finding the Fourth Proportional to 6,782.08, 10,163.40 and 3,854.20

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Solution

The fourth proportional to 6,782.08, 10,163.40 and 3,854.20 is: 5,775.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.08 : 10,163.40 = 3,854.20 : x
  2. Step 2: Convert to fraction form
    6,782.08/10,163.40 = 3,854.20/x
  3. Step 3: Cross multiply
    6,782.08x = 10,163.40 × 3,854.20
  4. Step 4: Simplify right side
    6,782.08x = 39,171,776.28
  5. Step 5: Solve for x
    x = 39,171,776.28/6,782.08
  6. Step 6: Final answer
    x = 5,775.78

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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.