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Finding the Fourth Proportional to 8,170.92, 11,276.19 and 4,634.82

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Solution

The fourth proportional to 8,170.92, 11,276.19 and 4,634.82 is: 6,396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.92 : 11,276.19 = 4,634.82 : x
  2. Step 2: Convert to fraction form
    8,170.92/11,276.19 = 4,634.82/x
  3. Step 3: Cross multiply
    8,170.92x = 11,276.19 × 4,634.82
  4. Step 4: Simplify right side
    8,170.92x = 52,263,110.94
  5. Step 5: Solve for x
    x = 52,263,110.94/8,170.92
  6. Step 6: Final answer
    x = 6,396.23

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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.