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Finding the Fourth Proportional to 11,839.72, 17,767.50 and 4,914.22

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Solution

The fourth proportional to 11,839.72, 17,767.50 and 4,914.22 is: 7,374.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,839.72 : 17,767.50 = 4,914.22 : x
  2. Step 2: Convert to fraction form
    11,839.72/17,767.50 = 4,914.22/x
  3. Step 3: Cross multiply
    11,839.72x = 17,767.50 × 4,914.22
  4. Step 4: Simplify right side
    11,839.72x = 87,313,403.85
  5. Step 5: Solve for x
    x = 87,313,403.85/11,839.72
  6. Step 6: Final answer
    x = 7,374.62

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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.