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Finding the Fourth Proportional to 6,783.44, 10,174.52 and 2,400.68

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Solution

The fourth proportional to 6,783.44, 10,174.52 and 2,400.68 is: 3,600.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.44 : 10,174.52 = 2,400.68 : x
  2. Step 2: Convert to fraction form
    6,783.44/10,174.52 = 2,400.68/x
  3. Step 3: Cross multiply
    6,783.44x = 10,174.52 × 2,400.68
  4. Step 4: Simplify right side
    6,783.44x = 24,425,766.67
  5. Step 5: Solve for x
    x = 24,425,766.67/6,783.44
  6. Step 6: Final answer
    x = 3,600.79

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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.