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Finding the Fourth Proportional to 7,863.92, 11,798.71 and 3,965.39

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Solution

The fourth proportional to 7,863.92, 11,798.71 and 3,965.39 is: 5,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.92 : 11,798.71 = 3,965.39 : x
  2. Step 2: Convert to fraction form
    7,863.92/11,798.71 = 3,965.39/x
  3. Step 3: Cross multiply
    7,863.92x = 11,798.71 × 3,965.39
  4. Step 4: Simplify right side
    7,863.92x = 46,786,486.65
  5. Step 5: Solve for x
    x = 46,786,486.65/7,863.92
  6. Step 6: Final answer
    x = 5,949.51

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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.