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Finding the Fourth Proportional to 7,266, 10,891.36 and 3,367.20

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Solution

The fourth proportional to 7,266, 10,891.36 and 3,367.20 is: 5,047.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266 : 10,891.36 = 3,367.20 : x
  2. Step 2: Convert to fraction form
    7,266/10,891.36 = 3,367.20/x
  3. Step 3: Cross multiply
    7,266x = 10,891.36 × 3,367.20
  4. Step 4: Simplify right side
    7,266x = 36,673,387.39
  5. Step 5: Solve for x
    x = 36,673,387.39/7,266
  6. Step 6: Final answer
    x = 5,047.26

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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.