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Finding the Fourth Proportional to 7,862.83, 11,797.49 and 5,793.28

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Solution

The fourth proportional to 7,862.83, 11,797.49 and 5,793.28 is: 8,692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.83 : 11,797.49 = 5,793.28 : x
  2. Step 2: Convert to fraction form
    7,862.83/11,797.49 = 5,793.28/x
  3. Step 3: Cross multiply
    7,862.83x = 11,797.49 × 5,793.28
  4. Step 4: Simplify right side
    7,862.83x = 68,346,162.87
  5. Step 5: Solve for x
    x = 68,346,162.87/7,862.83
  6. Step 6: Final answer
    x = 8,692.31

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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.