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Finding the Fourth Proportional to 6,766.32, 10,149.50 and 2,086.17

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Solution

The fourth proportional to 6,766.32, 10,149.50 and 2,086.17 is: 3,129.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.32 : 10,149.50 = 2,086.17 : x
  2. Step 2: Convert to fraction form
    6,766.32/10,149.50 = 2,086.17/x
  3. Step 3: Cross multiply
    6,766.32x = 10,149.50 × 2,086.17
  4. Step 4: Simplify right side
    6,766.32x = 21,173,571.98
  5. Step 5: Solve for x
    x = 21,173,571.98/6,766.32
  6. Step 6: Final answer
    x = 3,129.26

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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.