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Finding the Fourth Proportional to 8,471.62, 11,692.26 and 4,936.93

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Solution

The fourth proportional to 8,471.62, 11,692.26 and 4,936.93 is: 6,813.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.62 : 11,692.26 = 4,936.93 : x
  2. Step 2: Convert to fraction form
    8,471.62/11,692.26 = 4,936.93/x
  3. Step 3: Cross multiply
    8,471.62x = 11,692.26 × 4,936.93
  4. Step 4: Simplify right side
    8,471.62x = 57,723,869.16
  5. Step 5: Solve for x
    x = 57,723,869.16/8,471.62
  6. Step 6: Final answer
    x = 6,813.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.