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Finding the Fourth Proportional to 8,771.68, 12,105.21 and 5,234.41

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Solution

The fourth proportional to 8,771.68, 12,105.21 and 5,234.41 is: 7,223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.68 : 12,105.21 = 5,234.41 : x
  2. Step 2: Convert to fraction form
    8,771.68/12,105.21 = 5,234.41/x
  3. Step 3: Cross multiply
    8,771.68x = 12,105.21 × 5,234.41
  4. Step 4: Simplify right side
    8,771.68x = 63,363,632.28
  5. Step 5: Solve for x
    x = 63,363,632.28/8,771.68
  6. Step 6: Final answer
    x = 7,223.66

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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.