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Finding the Fourth Proportional to 10,692.32, 14,755.68 and 5,976.92

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Solution

The fourth proportional to 10,692.32, 14,755.68 and 5,976.92 is: 8,248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.32 : 14,755.68 = 5,976.92 : x
  2. Step 2: Convert to fraction form
    10,692.32/14,755.68 = 5,976.92/x
  3. Step 3: Cross multiply
    10,692.32x = 14,755.68 × 5,976.92
  4. Step 4: Simplify right side
    10,692.32x = 88,193,518.91
  5. Step 5: Solve for x
    x = 88,193,518.91/10,692.32
  6. Step 6: Final answer
    x = 8,248.31

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