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Finding the Fourth Proportional to 7,866.30, 11,797.92 and 2,936.22

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Solution

The fourth proportional to 7,866.30, 11,797.92 and 2,936.22 is: 4,403.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.30 : 11,797.92 = 2,936.22 : x
  2. Step 2: Convert to fraction form
    7,866.30/11,797.92 = 2,936.22/x
  3. Step 3: Cross multiply
    7,866.30x = 11,797.92 × 2,936.22
  4. Step 4: Simplify right side
    7,866.30x = 34,641,288.66
  5. Step 5: Solve for x
    x = 34,641,288.66/7,866.30
  6. Step 6: Final answer
    x = 4,403.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.