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Finding the Fourth Proportional to 8,105.86, 12,153.67 and 3,423.45

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Solution

The fourth proportional to 8,105.86, 12,153.67 and 3,423.45 is: 5,133.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.86 : 12,153.67 = 3,423.45 : x
  2. Step 2: Convert to fraction form
    8,105.86/12,153.67 = 3,423.45/x
  3. Step 3: Cross multiply
    8,105.86x = 12,153.67 × 3,423.45
  4. Step 4: Simplify right side
    8,105.86x = 41,607,481.56
  5. Step 5: Solve for x
    x = 41,607,481.56/8,105.86
  6. Step 6: Final answer
    x = 5,133.01

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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.