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Finding the Fourth Proportional to 10,766.34, 16,148.58 and 3,744.54

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Solution

The fourth proportional to 10,766.34, 16,148.58 and 3,744.54 is: 5,616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.34 : 16,148.58 = 3,744.54 : x
  2. Step 2: Convert to fraction form
    10,766.34/16,148.58 = 3,744.54/x
  3. Step 3: Cross multiply
    10,766.34x = 16,148.58 × 3,744.54
  4. Step 4: Simplify right side
    10,766.34x = 60,469,003.75
  5. Step 5: Solve for x
    x = 60,469,003.75/10,766.34
  6. Step 6: Final answer
    x = 5,616.49

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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.