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Finding the Fourth Proportional to 10,408.70, 14,364.11 and 5,692.88

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Solution

The fourth proportional to 10,408.70, 14,364.11 and 5,692.88 is: 7,856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.70 : 14,364.11 = 5,692.88 : x
  2. Step 2: Convert to fraction form
    10,408.70/14,364.11 = 5,692.88/x
  3. Step 3: Cross multiply
    10,408.70x = 14,364.11 × 5,692.88
  4. Step 4: Simplify right side
    10,408.70x = 81,773,096.95
  5. Step 5: Solve for x
    x = 81,773,096.95/10,408.70
  6. Step 6: Final answer
    x = 7,856.23

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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.