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Finding the Fourth Proportional to 6,996.36, 10,489.55 and 3,296.64

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Solution

The fourth proportional to 6,996.36, 10,489.55 and 3,296.64 is: 4,942.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.36 : 10,489.55 = 3,296.64 : x
  2. Step 2: Convert to fraction form
    6,996.36/10,489.55 = 3,296.64/x
  3. Step 3: Cross multiply
    6,996.36x = 10,489.55 × 3,296.64
  4. Step 4: Simplify right side
    6,996.36x = 34,580,253.63
  5. Step 5: Solve for x
    x = 34,580,253.63/6,996.36
  6. Step 6: Final answer
    x = 4,942.61

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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.