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Finding the Fourth Proportional to 7,243.36, 10,865.07 and 2,049.23

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Solution

The fourth proportional to 7,243.36, 10,865.07 and 2,049.23 is: 3,073.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.36 : 10,865.07 = 2,049.23 : x
  2. Step 2: Convert to fraction form
    7,243.36/10,865.07 = 2,049.23/x
  3. Step 3: Cross multiply
    7,243.36x = 10,865.07 × 2,049.23
  4. Step 4: Simplify right side
    7,243.36x = 22,265,054.56
  5. Step 5: Solve for x
    x = 22,265,054.56/7,243.36
  6. Step 6: Final answer
    x = 3,073.86

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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.