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Finding the Fourth Proportional to 6,728.91, 10,093.33 and 2,833.32

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Solution

The fourth proportional to 6,728.91, 10,093.33 and 2,833.32 is: 4,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.91 : 10,093.33 = 2,833.32 : x
  2. Step 2: Convert to fraction form
    6,728.91/10,093.33 = 2,833.32/x
  3. Step 3: Cross multiply
    6,728.91x = 10,093.33 × 2,833.32
  4. Step 4: Simplify right side
    6,728.91x = 28,597,619.59
  5. Step 5: Solve for x
    x = 28,597,619.59/6,728.91
  6. Step 6: Final answer
    x = 4,249.96

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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.