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Finding the Fourth Proportional to 8,472.70, 11,692.89 and 4,696.03

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Solution

The fourth proportional to 8,472.70, 11,692.89 and 4,696.03 is: 6,480.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.70 : 11,692.89 = 4,696.03 : x
  2. Step 2: Convert to fraction form
    8,472.70/11,692.89 = 4,696.03/x
  3. Step 3: Cross multiply
    8,472.70x = 11,692.89 × 4,696.03
  4. Step 4: Simplify right side
    8,472.70x = 54,910,162.23
  5. Step 5: Solve for x
    x = 54,910,162.23/8,472.70
  6. Step 6: Final answer
    x = 6,480.83

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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.