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Finding the Fourth Proportional to 7,198.94, 10,799.31 and 2,815.83

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Solution

The fourth proportional to 7,198.94, 10,799.31 and 2,815.83 is: 4,224.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.94 : 10,799.31 = 2,815.83 : x
  2. Step 2: Convert to fraction form
    7,198.94/10,799.31 = 2,815.83/x
  3. Step 3: Cross multiply
    7,198.94x = 10,799.31 × 2,815.83
  4. Step 4: Simplify right side
    7,198.94x = 30,409,031.64
  5. Step 5: Solve for x
    x = 30,409,031.64/7,198.94
  6. Step 6: Final answer
    x = 4,224.10

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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.