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Finding the Fourth Proportional to 8,329.35, 12,494.84 and 2,406.37

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Solution

The fourth proportional to 8,329.35, 12,494.84 and 2,406.37 is: 3,609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.35 : 12,494.84 = 2,406.37 : x
  2. Step 2: Convert to fraction form
    8,329.35/12,494.84 = 2,406.37/x
  3. Step 3: Cross multiply
    8,329.35x = 12,494.84 × 2,406.37
  4. Step 4: Simplify right side
    8,329.35x = 30,067,208.13
  5. Step 5: Solve for x
    x = 30,067,208.13/8,329.35
  6. Step 6: Final answer
    x = 3,609.79

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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.