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Finding the Fourth Proportional to 11,481.94, 17,224.53 and 4,084.21

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Solution

The fourth proportional to 11,481.94, 17,224.53 and 4,084.21 is: 6,126.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481.94 : 17,224.53 = 4,084.21 : x
  2. Step 2: Convert to fraction form
    11,481.94/17,224.53 = 4,084.21/x
  3. Step 3: Cross multiply
    11,481.94x = 17,224.53 × 4,084.21
  4. Step 4: Simplify right side
    11,481.94x = 70,348,597.67
  5. Step 5: Solve for x
    x = 70,348,597.67/11,481.94
  6. Step 6: Final answer
    x = 6,126.89

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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.