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Finding the Fourth Proportional to 6,697.68, 10,046.52 and 2,080.68

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Solution

The fourth proportional to 6,697.68, 10,046.52 and 2,080.68 is: 3,121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.68 : 10,046.52 = 2,080.68 : x
  2. Step 2: Convert to fraction form
    6,697.68/10,046.52 = 2,080.68/x
  3. Step 3: Cross multiply
    6,697.68x = 10,046.52 × 2,080.68
  4. Step 4: Simplify right side
    6,697.68x = 20,903,593.23
  5. Step 5: Solve for x
    x = 20,903,593.23/6,697.68
  6. Step 6: Final answer
    x = 3,121.02

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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.