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Finding the Fourth Proportional to 8,227.65, 11,354.12 and 4,450.83

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Solution

The fourth proportional to 8,227.65, 11,354.12 and 4,450.83 is: 6,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.65 : 11,354.12 = 4,450.83 : x
  2. Step 2: Convert to fraction form
    8,227.65/11,354.12 = 4,450.83/x
  3. Step 3: Cross multiply
    8,227.65x = 11,354.12 × 4,450.83
  4. Step 4: Simplify right side
    8,227.65x = 50,535,178.89
  5. Step 5: Solve for x
    x = 50,535,178.89/8,227.65
  6. Step 6: Final answer
    x = 6,142.12

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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.