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Finding the Fourth Proportional to 8,057.12, 12,086.78 and 7,571.12

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Solution

The fourth proportional to 8,057.12, 12,086.78 and 7,571.12 is: 11,357.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.12 : 12,086.78 = 7,571.12 : x
  2. Step 2: Convert to fraction form
    8,057.12/12,086.78 = 7,571.12/x
  3. Step 3: Cross multiply
    8,057.12x = 12,086.78 × 7,571.12
  4. Step 4: Simplify right side
    8,057.12x = 91,510,461.79
  5. Step 5: Solve for x
    x = 91,510,461.79/8,057.12
  6. Step 6: Final answer
    x = 11,357.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.