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Finding the Fourth Proportional to 8,138.15, 12,207.21 and 2,591.81

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Solution

The fourth proportional to 8,138.15, 12,207.21 and 2,591.81 is: 3,887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.15 : 12,207.21 = 2,591.81 : x
  2. Step 2: Convert to fraction form
    8,138.15/12,207.21 = 2,591.81/x
  3. Step 3: Cross multiply
    8,138.15x = 12,207.21 × 2,591.81
  4. Step 4: Simplify right side
    8,138.15x = 31,638,768.95
  5. Step 5: Solve for x
    x = 31,638,768.95/8,138.15
  6. Step 6: Final answer
    x = 3,887.71

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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.