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Finding the Fourth Proportional to 8,183.76, 11,287.80 and 7,186.92

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Solution

The fourth proportional to 8,183.76, 11,287.80 and 7,186.92 is: 9,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.76 : 11,287.80 = 7,186.92 : x
  2. Step 2: Convert to fraction form
    8,183.76/11,287.80 = 7,186.92/x
  3. Step 3: Cross multiply
    8,183.76x = 11,287.80 × 7,186.92
  4. Step 4: Simplify right side
    8,183.76x = 81,124,515.58
  5. Step 5: Solve for x
    x = 81,124,515.58/8,183.76
  6. Step 6: Final answer
    x = 9,912.87

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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.