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Finding the Fourth Proportional to 7,286.94, 10,928.79 and 2,093.22

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Solution

The fourth proportional to 7,286.94, 10,928.79 and 2,093.22 is: 3,139.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.94 : 10,928.79 = 2,093.22 : x
  2. Step 2: Convert to fraction form
    7,286.94/10,928.79 = 2,093.22/x
  3. Step 3: Cross multiply
    7,286.94x = 10,928.79 × 2,093.22
  4. Step 4: Simplify right side
    7,286.94x = 22,876,361.80
  5. Step 5: Solve for x
    x = 22,876,361.80/7,286.94
  6. Step 6: Final answer
    x = 3,139.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.