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Finding the Fourth Proportional to 6,855.40, 10,280.64 and 2,471.68

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Solution

The fourth proportional to 6,855.40, 10,280.64 and 2,471.68 is: 3,706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.40 : 10,280.64 = 2,471.68 : x
  2. Step 2: Convert to fraction form
    6,855.40/10,280.64 = 2,471.68/x
  3. Step 3: Cross multiply
    6,855.40x = 10,280.64 × 2,471.68
  4. Step 4: Simplify right side
    6,855.40x = 25,410,452.28
  5. Step 5: Solve for x
    x = 25,410,452.28/6,855.40
  6. Step 6: Final answer
    x = 3,706.63

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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.