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Finding the Fourth Proportional to 7,555.27, 10,426.41 and 4,198

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Solution

The fourth proportional to 7,555.27, 10,426.41 and 4,198 is: 5,793.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,555.27 : 10,426.41 = 4,198 : x
  2. Step 2: Convert to fraction form
    7,555.27/10,426.41 = 4,198/x
  3. Step 3: Cross multiply
    7,555.27x = 10,426.41 × 4,198
  4. Step 4: Simplify right side
    7,555.27x = 43,770,069.18
  5. Step 5: Solve for x
    x = 43,770,069.18/7,555.27
  6. Step 6: Final answer
    x = 5,793.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.