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Finding the Fourth Proportional to 7,961.30, 10,982.42 and 5,408.14

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Solution

The fourth proportional to 7,961.30, 10,982.42 and 5,408.14 is: 7,460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.30 : 10,982.42 = 5,408.14 : x
  2. Step 2: Convert to fraction form
    7,961.30/10,982.42 = 5,408.14/x
  3. Step 3: Cross multiply
    7,961.30x = 10,982.42 × 5,408.14
  4. Step 4: Simplify right side
    7,961.30x = 59,394,464.90
  5. Step 5: Solve for x
    x = 59,394,464.90/7,961.30
  6. Step 6: Final answer
    x = 7,460.40

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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.