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Finding the Fourth Proportional to 8,821.74, 12,171.99 and 5,234.85

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Solution

The fourth proportional to 8,821.74, 12,171.99 and 5,234.85 is: 7,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.74 : 12,171.99 = 5,234.85 : x
  2. Step 2: Convert to fraction form
    8,821.74/12,171.99 = 5,234.85/x
  3. Step 3: Cross multiply
    8,821.74x = 12,171.99 × 5,234.85
  4. Step 4: Simplify right side
    8,821.74x = 63,718,527.25
  5. Step 5: Solve for x
    x = 63,718,527.25/8,821.74
  6. Step 6: Final answer
    x = 7,222.89

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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.