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Finding the Fourth Proportional to 7,198.64, 10,799.49 and 4,080.14

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Solution

The fourth proportional to 7,198.64, 10,799.49 and 4,080.14 is: 6,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.64 : 10,799.49 = 4,080.14 : x
  2. Step 2: Convert to fraction form
    7,198.64/10,799.49 = 4,080.14/x
  3. Step 3: Cross multiply
    7,198.64x = 10,799.49 × 4,080.14
  4. Step 4: Simplify right side
    7,198.64x = 44,063,431.13
  5. Step 5: Solve for x
    x = 44,063,431.13/7,198.64
  6. Step 6: Final answer
    x = 6,121.08

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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.