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Finding the Fourth Proportional to 6,163.06, 8,512.32 and 4,170.16

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Solution

The fourth proportional to 6,163.06, 8,512.32 and 4,170.16 is: 5,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.06 : 8,512.32 = 4,170.16 : x
  2. Step 2: Convert to fraction form
    6,163.06/8,512.32 = 4,170.16/x
  3. Step 3: Cross multiply
    6,163.06x = 8,512.32 × 4,170.16
  4. Step 4: Simplify right side
    6,163.06x = 35,497,736.37
  5. Step 5: Solve for x
    x = 35,497,736.37/6,163.06
  6. Step 6: Final answer
    x = 5,759.76

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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.