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Finding the Fourth Proportional to 8,108.74, 12,164.37 and 3,428.76

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Solution

The fourth proportional to 8,108.74, 12,164.37 and 3,428.76 is: 5,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.74 : 12,164.37 = 3,428.76 : x
  2. Step 2: Convert to fraction form
    8,108.74/12,164.37 = 3,428.76/x
  3. Step 3: Cross multiply
    8,108.74x = 12,164.37 × 3,428.76
  4. Step 4: Simplify right side
    8,108.74x = 41,708,738.04
  5. Step 5: Solve for x
    x = 41,708,738.04/8,108.74
  6. Step 6: Final answer
    x = 5,143.68

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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.