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Finding the Fourth Proportional to 8,224.90, 12,338.22 and 3,030.76

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Solution

The fourth proportional to 8,224.90, 12,338.22 and 3,030.76 is: 4,546.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.90 : 12,338.22 = 3,030.76 : x
  2. Step 2: Convert to fraction form
    8,224.90/12,338.22 = 3,030.76/x
  3. Step 3: Cross multiply
    8,224.90x = 12,338.22 × 3,030.76
  4. Step 4: Simplify right side
    8,224.90x = 37,394,183.65
  5. Step 5: Solve for x
    x = 37,394,183.65/8,224.90
  6. Step 6: Final answer
    x = 4,546.46

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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.