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Finding the Fourth Proportional to 7,128.72, 10,693.10 and 2,198.20

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Solution

The fourth proportional to 7,128.72, 10,693.10 and 2,198.20 is: 3,297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.72 : 10,693.10 = 2,198.20 : x
  2. Step 2: Convert to fraction form
    7,128.72/10,693.10 = 2,198.20/x
  3. Step 3: Cross multiply
    7,128.72x = 10,693.10 × 2,198.20
  4. Step 4: Simplify right side
    7,128.72x = 23,505,572.42
  5. Step 5: Solve for x
    x = 23,505,572.42/7,128.72
  6. Step 6: Final answer
    x = 3,297.31

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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.