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Finding the Fourth Proportional to 8,536.74, 12,882.21 and 8,273.78

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Solution

The fourth proportional to 8,536.74, 12,882.21 and 8,273.78 is: 12,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.74 : 12,882.21 = 8,273.78 : x
  2. Step 2: Convert to fraction form
    8,536.74/12,882.21 = 8,273.78/x
  3. Step 3: Cross multiply
    8,536.74x = 12,882.21 × 8,273.78
  4. Step 4: Simplify right side
    8,536.74x = 106,584,571.45
  5. Step 5: Solve for x
    x = 106,584,571.45/8,536.74
  6. Step 6: Final answer
    x = 12,485.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.