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Finding the Fourth Proportional to 10,692.38, 14,755.82 and 5,976.65

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Solution

The fourth proportional to 10,692.38, 14,755.82 and 5,976.65 is: 8,247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.38 : 14,755.82 = 5,976.65 : x
  2. Step 2: Convert to fraction form
    10,692.38/14,755.82 = 5,976.65/x
  3. Step 3: Cross multiply
    10,692.38x = 14,755.82 × 5,976.65
  4. Step 4: Simplify right side
    10,692.38x = 88,190,371.60
  5. Step 5: Solve for x
    x = 88,190,371.60/10,692.38
  6. Step 6: Final answer
    x = 8,247.96

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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.