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Finding the Fourth Proportional to 6,996.16, 10,493.83 and 3,099.25

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Solution

The fourth proportional to 6,996.16, 10,493.83 and 3,099.25 is: 4,648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.16 : 10,493.83 = 3,099.25 : x
  2. Step 2: Convert to fraction form
    6,996.16/10,493.83 = 3,099.25/x
  3. Step 3: Cross multiply
    6,996.16x = 10,493.83 × 3,099.25
  4. Step 4: Simplify right side
    6,996.16x = 32,523,002.63
  5. Step 5: Solve for x
    x = 32,523,002.63/6,996.16
  6. Step 6: Final answer
    x = 4,648.69

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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.