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Finding the Fourth Proportional to 8,164.86, 11,278.89 and 7,861.41

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Solution

The fourth proportional to 8,164.86, 11,278.89 and 7,861.41 is: 10,859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.86 : 11,278.89 = 7,861.41 : x
  2. Step 2: Convert to fraction form
    8,164.86/11,278.89 = 7,861.41/x
  3. Step 3: Cross multiply
    8,164.86x = 11,278.89 × 7,861.41
  4. Step 4: Simplify right side
    8,164.86x = 88,667,978.63
  5. Step 5: Solve for x
    x = 88,667,978.63/8,164.86
  6. Step 6: Final answer
    x = 10,859.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.