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Finding the Fourth Proportional to 8,188.38, 12,286.23 and 4,291.89

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Solution

The fourth proportional to 8,188.38, 12,286.23 and 4,291.89 is: 6,439.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.38 : 12,286.23 = 4,291.89 : x
  2. Step 2: Convert to fraction form
    8,188.38/12,286.23 = 4,291.89/x
  3. Step 3: Cross multiply
    8,188.38x = 12,286.23 × 4,291.89
  4. Step 4: Simplify right side
    8,188.38x = 52,731,147.67
  5. Step 5: Solve for x
    x = 52,731,147.67/8,188.38
  6. Step 6: Final answer
    x = 6,439.75

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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.