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Finding the Fourth Proportional to 8,379.49, 12,568.84 and 2,833.06

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Solution

The fourth proportional to 8,379.49, 12,568.84 and 2,833.06 is: 4,249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.49 : 12,568.84 = 2,833.06 : x
  2. Step 2: Convert to fraction form
    8,379.49/12,568.84 = 2,833.06/x
  3. Step 3: Cross multiply
    8,379.49x = 12,568.84 × 2,833.06
  4. Step 4: Simplify right side
    8,379.49x = 35,608,277.85
  5. Step 5: Solve for x
    x = 35,608,277.85/8,379.49
  6. Step 6: Final answer
    x = 4,249.46

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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.