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Finding the Fourth Proportional to 10,408.36, 14,363.44 and 5,692.68

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Solution

The fourth proportional to 10,408.36, 14,363.44 and 5,692.68 is: 7,855.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.36 : 14,363.44 = 5,692.68 : x
  2. Step 2: Convert to fraction form
    10,408.36/14,363.44 = 5,692.68/x
  3. Step 3: Cross multiply
    10,408.36x = 14,363.44 × 5,692.68
  4. Step 4: Simplify right side
    10,408.36x = 81,766,467.62
  5. Step 5: Solve for x
    x = 81,766,467.62/10,408.36
  6. Step 6: Final answer
    x = 7,855.85

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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.