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Finding the Fourth Proportional to 7,227.30, 10,838.90 and 3,067.14

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Solution

The fourth proportional to 7,227.30, 10,838.90 and 3,067.14 is: 4,599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.30 : 10,838.90 = 3,067.14 : x
  2. Step 2: Convert to fraction form
    7,227.30/10,838.90 = 3,067.14/x
  3. Step 3: Cross multiply
    7,227.30x = 10,838.90 × 3,067.14
  4. Step 4: Simplify right side
    7,227.30x = 33,244,423.75
  5. Step 5: Solve for x
    x = 33,244,423.75/7,227.30
  6. Step 6: Final answer
    x = 4,599.84

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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.