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Finding the Fourth Proportional to 10,408.11, 14,363.10 and 5,692.43

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Solution

The fourth proportional to 10,408.11, 14,363.10 and 5,692.43 is: 7,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.11 : 14,363.10 = 5,692.43 : x
  2. Step 2: Convert to fraction form
    10,408.11/14,363.10 = 5,692.43/x
  3. Step 3: Cross multiply
    10,408.11x = 14,363.10 × 5,692.43
  4. Step 4: Simplify right side
    10,408.11x = 81,760,869.52
  5. Step 5: Solve for x
    x = 81,760,869.52/10,408.11
  6. Step 6: Final answer
    x = 7,855.50

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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.