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Finding the Fourth Proportional to 6,833.94, 10,249.72 and 1,902.26

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Solution

The fourth proportional to 6,833.94, 10,249.72 and 1,902.26 is: 2,853.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.94 : 10,249.72 = 1,902.26 : x
  2. Step 2: Convert to fraction form
    6,833.94/10,249.72 = 1,902.26/x
  3. Step 3: Cross multiply
    6,833.94x = 10,249.72 × 1,902.26
  4. Step 4: Simplify right side
    6,833.94x = 19,497,632.37
  5. Step 5: Solve for x
    x = 19,497,632.37/6,833.94
  6. Step 6: Final answer
    x = 2,853.06

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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.