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Finding the Fourth Proportional to 7,755.21, 10,692.20 and 5,633.82

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Solution

The fourth proportional to 7,755.21, 10,692.20 and 5,633.82 is: 7,767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.21 : 10,692.20 = 5,633.82 : x
  2. Step 2: Convert to fraction form
    7,755.21/10,692.20 = 5,633.82/x
  3. Step 3: Cross multiply
    7,755.21x = 10,692.20 × 5,633.82
  4. Step 4: Simplify right side
    7,755.21x = 60,237,944.29
  5. Step 5: Solve for x
    x = 60,237,944.29/7,755.21
  6. Step 6: Final answer
    x = 7,767.42

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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.