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Finding the Fourth Proportional to 7,725.73, 11,592.24 and 2,794.04

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Solution

The fourth proportional to 7,725.73, 11,592.24 and 2,794.04 is: 4,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.73 : 11,592.24 = 2,794.04 : x
  2. Step 2: Convert to fraction form
    7,725.73/11,592.24 = 2,794.04/x
  3. Step 3: Cross multiply
    7,725.73x = 11,592.24 × 2,794.04
  4. Step 4: Simplify right side
    7,725.73x = 32,389,230.35
  5. Step 5: Solve for x
    x = 32,389,230.35/7,725.73
  6. Step 6: Final answer
    x = 4,192.38

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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.