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Finding the Fourth Proportional to 7,198.07, 10,797.12 and 4,274.78

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Solution

The fourth proportional to 7,198.07, 10,797.12 and 4,274.78 is: 6,412.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.07 : 10,797.12 = 4,274.78 : x
  2. Step 2: Convert to fraction form
    7,198.07/10,797.12 = 4,274.78/x
  3. Step 3: Cross multiply
    7,198.07x = 10,797.12 × 4,274.78
  4. Step 4: Simplify right side
    7,198.07x = 46,155,258.65
  5. Step 5: Solve for x
    x = 46,155,258.65/7,198.07
  6. Step 6: Final answer
    x = 6,412.18

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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.