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Finding the Fourth Proportional to 8,614.50, 11,882.34 and 6,220.49

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Solution

The fourth proportional to 8,614.50, 11,882.34 and 6,220.49 is: 8,580.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.50 : 11,882.34 = 6,220.49 : x
  2. Step 2: Convert to fraction form
    8,614.50/11,882.34 = 6,220.49/x
  3. Step 3: Cross multiply
    8,614.50x = 11,882.34 × 6,220.49
  4. Step 4: Simplify right side
    8,614.50x = 73,913,917.73
  5. Step 5: Solve for x
    x = 73,913,917.73/8,614.50
  6. Step 6: Final answer
    x = 8,580.18

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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.