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Finding the Fourth Proportional to 6,894.80, 10,342.84 and 2,213.60

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Solution

The fourth proportional to 6,894.80, 10,342.84 and 2,213.60 is: 3,320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.80 : 10,342.84 = 2,213.60 : x
  2. Step 2: Convert to fraction form
    6,894.80/10,342.84 = 2,213.60/x
  3. Step 3: Cross multiply
    6,894.80x = 10,342.84 × 2,213.60
  4. Step 4: Simplify right side
    6,894.80x = 22,894,910.62
  5. Step 5: Solve for x
    x = 22,894,910.62/6,894.80
  6. Step 6: Final answer
    x = 3,320.61

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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.