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Finding the Fourth Proportional to 6,996.87, 10,489.35 and 3,099.15

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Solution

The fourth proportional to 6,996.87, 10,489.35 and 3,099.15 is: 4,646.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.87 : 10,489.35 = 3,099.15 : x
  2. Step 2: Convert to fraction form
    6,996.87/10,489.35 = 3,099.15/x
  3. Step 3: Cross multiply
    6,996.87x = 10,489.35 × 3,099.15
  4. Step 4: Simplify right side
    6,996.87x = 32,508,069.05
  5. Step 5: Solve for x
    x = 32,508,069.05/6,996.87
  6. Step 6: Final answer
    x = 4,646.09

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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.