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Finding the Fourth Proportional to 8,120.35, 12,182.42 and 3,440.76

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Solution

The fourth proportional to 8,120.35, 12,182.42 and 3,440.76 is: 5,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.35 : 12,182.42 = 3,440.76 : x
  2. Step 2: Convert to fraction form
    8,120.35/12,182.42 = 3,440.76/x
  3. Step 3: Cross multiply
    8,120.35x = 12,182.42 × 3,440.76
  4. Step 4: Simplify right side
    8,120.35x = 41,916,783.44
  5. Step 5: Solve for x
    x = 41,916,783.44/8,120.35
  6. Step 6: Final answer
    x = 5,161.94

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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.