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Finding the Fourth Proportional to 7,555.82, 10,426.56 and 4,198.44

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Solution

The fourth proportional to 7,555.82, 10,426.56 and 4,198.44 is: 5,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,555.82 : 10,426.56 = 4,198.44 : x
  2. Step 2: Convert to fraction form
    7,555.82/10,426.56 = 4,198.44/x
  3. Step 3: Cross multiply
    7,555.82x = 10,426.56 × 4,198.44
  4. Step 4: Simplify right side
    7,555.82x = 43,775,253.18
  5. Step 5: Solve for x
    x = 43,775,253.18/7,555.82
  6. Step 6: Final answer
    x = 5,793.58

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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.