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Finding the Fourth Proportional to 11,408.42, 15,742.69 and 6,372.34

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Solution

The fourth proportional to 11,408.42, 15,742.69 and 6,372.34 is: 8,793.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.42 : 15,742.69 = 6,372.34 : x
  2. Step 2: Convert to fraction form
    11,408.42/15,742.69 = 6,372.34/x
  3. Step 3: Cross multiply
    11,408.42x = 15,742.69 × 6,372.34
  4. Step 4: Simplify right side
    11,408.42x = 100,317,773.19
  5. Step 5: Solve for x
    x = 100,317,773.19/11,408.42
  6. Step 6: Final answer
    x = 8,793.31

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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.