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Finding the Fourth Proportional to 8,286.44, 11,433.22 and 5,260.41

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Solution

The fourth proportional to 8,286.44, 11,433.22 and 5,260.41 is: 7,258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.44 : 11,433.22 = 5,260.41 : x
  2. Step 2: Convert to fraction form
    8,286.44/11,433.22 = 5,260.41/x
  3. Step 3: Cross multiply
    8,286.44x = 11,433.22 × 5,260.41
  4. Step 4: Simplify right side
    8,286.44x = 60,143,411.67
  5. Step 5: Solve for x
    x = 60,143,411.67/8,286.44
  6. Step 6: Final answer
    x = 7,258.06

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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.