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Finding the Fourth Proportional to 8,266.80, 11,411.92 and 5,286.66

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Solution

The fourth proportional to 8,266.80, 11,411.92 and 5,286.66 is: 7,297.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.80 : 11,411.92 = 5,286.66 : x
  2. Step 2: Convert to fraction form
    8,266.80/11,411.92 = 5,286.66/x
  3. Step 3: Cross multiply
    8,266.80x = 11,411.92 × 5,286.66
  4. Step 4: Simplify right side
    8,266.80x = 60,330,940.99
  5. Step 5: Solve for x
    x = 60,330,940.99/8,266.80
  6. Step 6: Final answer
    x = 7,297.98

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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.