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Finding the Fourth Proportional to 6,840.57, 10,280.07 and 4,067.73

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Solution

The fourth proportional to 6,840.57, 10,280.07 and 4,067.73 is: 6,113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.57 : 10,280.07 = 4,067.73 : x
  2. Step 2: Convert to fraction form
    6,840.57/10,280.07 = 4,067.73/x
  3. Step 3: Cross multiply
    6,840.57x = 10,280.07 × 4,067.73
  4. Step 4: Simplify right side
    6,840.57x = 41,816,549.14
  5. Step 5: Solve for x
    x = 41,816,549.14/6,840.57
  6. Step 6: Final answer
    x = 6,113.02

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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.