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Finding the Fourth Proportional to 6,884.27, 10,325.99 and 2,267.27

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Solution

The fourth proportional to 6,884.27, 10,325.99 and 2,267.27 is: 3,400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.27 : 10,325.99 = 2,267.27 : x
  2. Step 2: Convert to fraction form
    6,884.27/10,325.99 = 2,267.27/x
  3. Step 3: Cross multiply
    6,884.27x = 10,325.99 × 2,267.27
  4. Step 4: Simplify right side
    6,884.27x = 23,411,761.39
  5. Step 5: Solve for x
    x = 23,411,761.39/6,884.27
  6. Step 6: Final answer
    x = 3,400.76

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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.