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Finding the Fourth Proportional to 7,196.96, 10,796.52 and 3,301.76

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Solution

The fourth proportional to 7,196.96, 10,796.52 and 3,301.76 is: 4,953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.96 : 10,796.52 = 3,301.76 : x
  2. Step 2: Convert to fraction form
    7,196.96/10,796.52 = 3,301.76/x
  3. Step 3: Cross multiply
    7,196.96x = 10,796.52 × 3,301.76
  4. Step 4: Simplify right side
    7,196.96x = 35,647,517.88
  5. Step 5: Solve for x
    x = 35,647,517.88/7,196.96
  6. Step 6: Final answer
    x = 4,953.14

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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.