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Finding the Fourth Proportional to 7,673.34, 11,480.85 and 4,744.38

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Solution

The fourth proportional to 7,673.34, 11,480.85 and 4,744.38 is: 7,098.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.34 : 11,480.85 = 4,744.38 : x
  2. Step 2: Convert to fraction form
    7,673.34/11,480.85 = 4,744.38/x
  3. Step 3: Cross multiply
    7,673.34x = 11,480.85 × 4,744.38
  4. Step 4: Simplify right side
    7,673.34x = 54,469,515.12
  5. Step 5: Solve for x
    x = 54,469,515.12/7,673.34
  6. Step 6: Final answer
    x = 7,098.54

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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.