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Finding the Fourth Proportional to 6,735.36, 10,096.02 and 3,959.76

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Solution

The fourth proportional to 6,735.36, 10,096.02 and 3,959.76 is: 5,935.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.36 : 10,096.02 = 3,959.76 : x
  2. Step 2: Convert to fraction form
    6,735.36/10,096.02 = 3,959.76/x
  3. Step 3: Cross multiply
    6,735.36x = 10,096.02 × 3,959.76
  4. Step 4: Simplify right side
    6,735.36x = 39,977,816.16
  5. Step 5: Solve for x
    x = 39,977,816.16/6,735.36
  6. Step 6: Final answer
    x = 5,935.51

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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.