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Finding the Fourth Proportional to 6,782.94, 10,174.14 and 2,400.44

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Solution

The fourth proportional to 6,782.94, 10,174.14 and 2,400.44 is: 3,600.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.94 : 10,174.14 = 2,400.44 : x
  2. Step 2: Convert to fraction form
    6,782.94/10,174.14 = 2,400.44/x
  3. Step 3: Cross multiply
    6,782.94x = 10,174.14 × 2,400.44
  4. Step 4: Simplify right side
    6,782.94x = 24,422,361.75
  5. Step 5: Solve for x
    x = 24,422,361.75/6,782.94
  6. Step 6: Final answer
    x = 3,600.56

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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.