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Finding the Fourth Proportional to 8,286.10, 12,429.15 and 3,608.35

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Solution

The fourth proportional to 8,286.10, 12,429.15 and 3,608.35 is: 5,412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.10 : 12,429.15 = 3,608.35 : x
  2. Step 2: Convert to fraction form
    8,286.10/12,429.15 = 3,608.35/x
  3. Step 3: Cross multiply
    8,286.10x = 12,429.15 × 3,608.35
  4. Step 4: Simplify right side
    8,286.10x = 44,848,723.40
  5. Step 5: Solve for x
    x = 44,848,723.40/8,286.10
  6. Step 6: Final answer
    x = 5,412.53

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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.