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Finding the Fourth Proportional to 6,796.28, 10,189.54 and 3,096.64

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Solution

The fourth proportional to 6,796.28, 10,189.54 and 3,096.64 is: 4,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.28 : 10,189.54 = 3,096.64 : x
  2. Step 2: Convert to fraction form
    6,796.28/10,189.54 = 3,096.64/x
  3. Step 3: Cross multiply
    6,796.28x = 10,189.54 × 3,096.64
  4. Step 4: Simplify right side
    6,796.28x = 31,553,337.15
  5. Step 5: Solve for x
    x = 31,553,337.15/6,796.28
  6. Step 6: Final answer
    x = 4,642.74

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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.