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Finding the Fourth Proportional to 7,822.15, 10,791.82 and 5,431.49

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Solution

The fourth proportional to 7,822.15, 10,791.82 and 5,431.49 is: 7,493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.15 : 10,791.82 = 5,431.49 : x
  2. Step 2: Convert to fraction form
    7,822.15/10,791.82 = 5,431.49/x
  3. Step 3: Cross multiply
    7,822.15x = 10,791.82 × 5,431.49
  4. Step 4: Simplify right side
    7,822.15x = 58,615,581.30
  5. Step 5: Solve for x
    x = 58,615,581.30/7,822.15
  6. Step 6: Final answer
    x = 7,493.54

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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.