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Finding the Fourth Proportional to 8,821.76, 12,174.68 and 5,832.41

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Solution

The fourth proportional to 8,821.76, 12,174.68 and 5,832.41 is: 8,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.76 : 12,174.68 = 5,832.41 : x
  2. Step 2: Convert to fraction form
    8,821.76/12,174.68 = 5,832.41/x
  3. Step 3: Cross multiply
    8,821.76x = 12,174.68 × 5,832.41
  4. Step 4: Simplify right side
    8,821.76x = 71,007,726.65
  5. Step 5: Solve for x
    x = 71,007,726.65/8,821.76
  6. Step 6: Final answer
    x = 8,049.15

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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.