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Finding the Fourth Proportional to 8,236.14, 11,353.95 and 5,086.86

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Solution

The fourth proportional to 8,236.14, 11,353.95 and 5,086.86 is: 7,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,236.14 : 11,353.95 = 5,086.86 : x
  2. Step 2: Convert to fraction form
    8,236.14/11,353.95 = 5,086.86/x
  3. Step 3: Cross multiply
    8,236.14x = 11,353.95 × 5,086.86
  4. Step 4: Simplify right side
    8,236.14x = 57,755,954.10
  5. Step 5: Solve for x
    x = 57,755,954.10/8,236.14
  6. Step 6: Final answer
    x = 7,012.50

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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.