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Finding the Fourth Proportional to 7,874.95, 11,809.07 and 3,195.98

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Solution

The fourth proportional to 7,874.95, 11,809.07 and 3,195.98 is: 4,792.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.95 : 11,809.07 = 3,195.98 : x
  2. Step 2: Convert to fraction form
    7,874.95/11,809.07 = 3,195.98/x
  3. Step 3: Cross multiply
    7,874.95x = 11,809.07 × 3,195.98
  4. Step 4: Simplify right side
    7,874.95x = 37,741,551.54
  5. Step 5: Solve for x
    x = 37,741,551.54/7,874.95
  6. Step 6: Final answer
    x = 4,792.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.