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Finding the Fourth Proportional to 11,496.40, 17,244.70 and 6,299.44

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Solution

The fourth proportional to 11,496.40, 17,244.70 and 6,299.44 is: 9,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.40 : 17,244.70 = 6,299.44 : x
  2. Step 2: Convert to fraction form
    11,496.40/17,244.70 = 6,299.44/x
  3. Step 3: Cross multiply
    11,496.40x = 17,244.70 × 6,299.44
  4. Step 4: Simplify right side
    11,496.40x = 108,631,952.97
  5. Step 5: Solve for x
    x = 108,631,952.97/11,496.40
  6. Step 6: Final answer
    x = 9,449.21

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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.