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Finding the Fourth Proportional to 6,046.71, 8,350.82 and 4,163.16

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Solution

The fourth proportional to 6,046.71, 8,350.82 and 4,163.16 is: 5,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.71 : 8,350.82 = 4,163.16 : x
  2. Step 2: Convert to fraction form
    6,046.71/8,350.82 = 4,163.16/x
  3. Step 3: Cross multiply
    6,046.71x = 8,350.82 × 4,163.16
  4. Step 4: Simplify right side
    6,046.71x = 34,765,778.98
  5. Step 5: Solve for x
    x = 34,765,778.98/6,046.71
  6. Step 6: Final answer
    x = 5,749.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.