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Finding the Fourth Proportional to 7,794.97, 11,685.49 and 2,863.46

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Solution

The fourth proportional to 7,794.97, 11,685.49 and 2,863.46 is: 4,292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.97 : 11,685.49 = 2,863.46 : x
  2. Step 2: Convert to fraction form
    7,794.97/11,685.49 = 2,863.46/x
  3. Step 3: Cross multiply
    7,794.97x = 11,685.49 × 2,863.46
  4. Step 4: Simplify right side
    7,794.97x = 33,460,933.20
  5. Step 5: Solve for x
    x = 33,460,933.20/7,794.97
  6. Step 6: Final answer
    x = 4,292.63

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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.