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Finding the Fourth Proportional to 7,198.38, 10,775.70 and 5,550.84

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Solution

The fourth proportional to 7,198.38, 10,775.70 and 5,550.84 is: 8,309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.38 : 10,775.70 = 5,550.84 : x
  2. Step 2: Convert to fraction form
    7,198.38/10,775.70 = 5,550.84/x
  3. Step 3: Cross multiply
    7,198.38x = 10,775.70 × 5,550.84
  4. Step 4: Simplify right side
    7,198.38x = 59,814,186.59
  5. Step 5: Solve for x
    x = 59,814,186.59/7,198.38
  6. Step 6: Final answer
    x = 8,309.40

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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.