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Finding the Fourth Proportional to 6,852.27, 10,274.41 and 2,687.40

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Solution

The fourth proportional to 6,852.27, 10,274.41 and 2,687.40 is: 4,029.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.27 : 10,274.41 = 2,687.40 : x
  2. Step 2: Convert to fraction form
    6,852.27/10,274.41 = 2,687.40/x
  3. Step 3: Cross multiply
    6,852.27x = 10,274.41 × 2,687.40
  4. Step 4: Simplify right side
    6,852.27x = 27,611,449.43
  5. Step 5: Solve for x
    x = 27,611,449.43/6,852.27
  6. Step 6: Final answer
    x = 4,029.53

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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.