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Finding the Fourth Proportional to 6,879.61, 10,321.16 and 3,184.49

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Solution

The fourth proportional to 6,879.61, 10,321.16 and 3,184.49 is: 4,777.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,879.61 : 10,321.16 = 3,184.49 : x
  2. Step 2: Convert to fraction form
    6,879.61/10,321.16 = 3,184.49/x
  3. Step 3: Cross multiply
    6,879.61x = 10,321.16 × 3,184.49
  4. Step 4: Simplify right side
    6,879.61x = 32,867,614.89
  5. Step 5: Solve for x
    x = 32,867,614.89/6,879.61
  6. Step 6: Final answer
    x = 4,777.54

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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.