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Finding the Fourth Proportional to 8,262.75, 11,399.61 and 5,431.68

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Solution

The fourth proportional to 8,262.75, 11,399.61 and 5,431.68 is: 7,493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.75 : 11,399.61 = 5,431.68 : x
  2. Step 2: Convert to fraction form
    8,262.75/11,399.61 = 5,431.68/x
  3. Step 3: Cross multiply
    8,262.75x = 11,399.61 × 5,431.68
  4. Step 4: Simplify right side
    8,262.75x = 61,919,033.64
  5. Step 5: Solve for x
    x = 61,919,033.64/8,262.75
  6. Step 6: Final answer
    x = 7,493.76

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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.