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Finding the Fourth Proportional to 8,105.57, 12,161.93 and 2,844.35

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Solution

The fourth proportional to 8,105.57, 12,161.93 and 2,844.35 is: 4,267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.57 : 12,161.93 = 2,844.35 : x
  2. Step 2: Convert to fraction form
    8,105.57/12,161.93 = 2,844.35/x
  3. Step 3: Cross multiply
    8,105.57x = 12,161.93 × 2,844.35
  4. Step 4: Simplify right side
    8,105.57x = 34,592,710.56
  5. Step 5: Solve for x
    x = 34,592,710.56/8,105.57
  6. Step 6: Final answer
    x = 4,267.77

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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.