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Finding the Fourth Proportional to 7,796.72, 11,694.72 and 2,866.01

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Solution

The fourth proportional to 7,796.72, 11,694.72 and 2,866.01 is: 4,298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.72 : 11,694.72 = 2,866.01 : x
  2. Step 2: Convert to fraction form
    7,796.72/11,694.72 = 2,866.01/x
  3. Step 3: Cross multiply
    7,796.72x = 11,694.72 × 2,866.01
  4. Step 4: Simplify right side
    7,796.72x = 33,517,136.74
  5. Step 5: Solve for x
    x = 33,517,136.74/7,796.72
  6. Step 6: Final answer
    x = 4,298.88

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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.