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Finding the Fourth Proportional to 8,191.86, 12,291.63 and 4,027.38

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Solution

The fourth proportional to 8,191.86, 12,291.63 and 4,027.38 is: 6,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.86 : 12,291.63 = 4,027.38 : x
  2. Step 2: Convert to fraction form
    8,191.86/12,291.63 = 4,027.38/x
  3. Step 3: Cross multiply
    8,191.86x = 12,291.63 × 4,027.38
  4. Step 4: Simplify right side
    8,191.86x = 49,503,064.83
  5. Step 5: Solve for x
    x = 49,503,064.83/8,191.86
  6. Step 6: Final answer
    x = 6,042.96

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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.