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Finding the Fourth Proportional to 7,198.65, 10,801.11 and 2,522.02

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Solution

The fourth proportional to 7,198.65, 10,801.11 and 2,522.02 is: 3,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.65 : 10,801.11 = 2,522.02 : x
  2. Step 2: Convert to fraction form
    7,198.65/10,801.11 = 2,522.02/x
  3. Step 3: Cross multiply
    7,198.65x = 10,801.11 × 2,522.02
  4. Step 4: Simplify right side
    7,198.65x = 27,240,615.44
  5. Step 5: Solve for x
    x = 27,240,615.44/7,198.65
  6. Step 6: Final answer
    x = 3,784.13

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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.