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Finding the Fourth Proportional to 6,850.80, 10,276.20 and 5,757.30

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Solution

The fourth proportional to 6,850.80, 10,276.20 and 5,757.30 is: 8,635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.80 : 10,276.20 = 5,757.30 : x
  2. Step 2: Convert to fraction form
    6,850.80/10,276.20 = 5,757.30/x
  3. Step 3: Cross multiply
    6,850.80x = 10,276.20 × 5,757.30
  4. Step 4: Simplify right side
    6,850.80x = 59,163,166.26
  5. Step 5: Solve for x
    x = 59,163,166.26/6,850.80
  6. Step 6: Final answer
    x = 8,635.95

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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.