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Finding the Fourth Proportional to 8,269.34, 11,408.82 and 5,286.92

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Solution

The fourth proportional to 8,269.34, 11,408.82 and 5,286.92 is: 7,294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.34 : 11,408.82 = 5,286.92 : x
  2. Step 2: Convert to fraction form
    8,269.34/11,408.82 = 5,286.92/x
  3. Step 3: Cross multiply
    8,269.34x = 11,408.82 × 5,286.92
  4. Step 4: Simplify right side
    8,269.34x = 60,317,518.63
  5. Step 5: Solve for x
    x = 60,317,518.63/8,269.34
  6. Step 6: Final answer
    x = 7,294.12

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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.