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Finding the Fourth Proportional to 7,128.84, 10,694.70 and 2,198.27

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Solution

The fourth proportional to 7,128.84, 10,694.70 and 2,198.27 is: 3,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.84 : 10,694.70 = 2,198.27 : x
  2. Step 2: Convert to fraction form
    7,128.84/10,694.70 = 2,198.27/x
  3. Step 3: Cross multiply
    7,128.84x = 10,694.70 × 2,198.27
  4. Step 4: Simplify right side
    7,128.84x = 23,509,864.91
  5. Step 5: Solve for x
    x = 23,509,864.91/7,128.84
  6. Step 6: Final answer
    x = 3,297.85

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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.