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Finding the Fourth Proportional to 8,161.48, 12,224.94 and 6,771.52

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Solution

The fourth proportional to 8,161.48, 12,224.94 and 6,771.52 is: 10,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.48 : 12,224.94 = 6,771.52 : x
  2. Step 2: Convert to fraction form
    8,161.48/12,224.94 = 6,771.52/x
  3. Step 3: Cross multiply
    8,161.48x = 12,224.94 × 6,771.52
  4. Step 4: Simplify right side
    8,161.48x = 82,781,425.71
  5. Step 5: Solve for x
    x = 82,781,425.71/8,161.48
  6. Step 6: Final answer
    x = 10,142.94

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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.