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Finding the Fourth Proportional to 11,694.56, 17,552.93 and 7,238.75

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Solution

The fourth proportional to 11,694.56, 17,552.93 and 7,238.75 is: 10,864.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.56 : 17,552.93 = 7,238.75 : x
  2. Step 2: Convert to fraction form
    11,694.56/17,552.93 = 7,238.75/x
  3. Step 3: Cross multiply
    11,694.56x = 17,552.93 × 7,238.75
  4. Step 4: Simplify right side
    11,694.56x = 127,061,246.25
  5. Step 5: Solve for x
    x = 127,061,246.25/11,694.56
  6. Step 6: Final answer
    x = 10,864.99

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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.