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Finding the Fourth Proportional to 7,198.07, 9,933.65 and 4,011.37

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Solution

The fourth proportional to 7,198.07, 9,933.65 and 4,011.37 is: 5,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.07 : 9,933.65 = 4,011.37 : x
  2. Step 2: Convert to fraction form
    7,198.07/9,933.65 = 4,011.37/x
  3. Step 3: Cross multiply
    7,198.07x = 9,933.65 × 4,011.37
  4. Step 4: Simplify right side
    7,198.07x = 39,847,591.24
  5. Step 5: Solve for x
    x = 39,847,591.24/7,198.07
  6. Step 6: Final answer
    x = 5,535.87

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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.