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Finding the Fourth Proportional to 8,226.28, 11,361.96 and 5,569.06

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Solution

The fourth proportional to 8,226.28, 11,361.96 and 5,569.06 is: 7,691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.28 : 11,361.96 = 5,569.06 : x
  2. Step 2: Convert to fraction form
    8,226.28/11,361.96 = 5,569.06/x
  3. Step 3: Cross multiply
    8,226.28x = 11,361.96 × 5,569.06
  4. Step 4: Simplify right side
    8,226.28x = 63,275,436.96
  5. Step 5: Solve for x
    x = 63,275,436.96/8,226.28
  6. Step 6: Final answer
    x = 7,691.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.