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Finding the Fourth Proportional to 7,843.28, 11,765.99 and 2,912.51

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Solution

The fourth proportional to 7,843.28, 11,765.99 and 2,912.51 is: 4,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.28 : 11,765.99 = 2,912.51 : x
  2. Step 2: Convert to fraction form
    7,843.28/11,765.99 = 2,912.51/x
  3. Step 3: Cross multiply
    7,843.28x = 11,765.99 × 2,912.51
  4. Step 4: Simplify right side
    7,843.28x = 34,268,490.14
  5. Step 5: Solve for x
    x = 34,268,490.14/7,843.28
  6. Step 6: Final answer
    x = 4,369.16

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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.