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Finding the Fourth Proportional to 7,198.29, 10,797.43 and 4,118.13

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Solution

The fourth proportional to 7,198.29, 10,797.43 and 4,118.13 is: 6,177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.29 : 10,797.43 = 4,118.13 : x
  2. Step 2: Convert to fraction form
    7,198.29/10,797.43 = 4,118.13/x
  3. Step 3: Cross multiply
    7,198.29x = 10,797.43 × 4,118.13
  4. Step 4: Simplify right side
    7,198.29x = 44,465,166.42
  5. Step 5: Solve for x
    x = 44,465,166.42/7,198.29
  6. Step 6: Final answer
    x = 6,177.19

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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.