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Finding the Fourth Proportional to 11,241.39, 16,853.36 and 7,284.29

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Solution

The fourth proportional to 11,241.39, 16,853.36 and 7,284.29 is: 10,920.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241.39 : 16,853.36 = 7,284.29 : x
  2. Step 2: Convert to fraction form
    11,241.39/16,853.36 = 7,284.29/x
  3. Step 3: Cross multiply
    11,241.39x = 16,853.36 × 7,284.29
  4. Step 4: Simplify right side
    11,241.39x = 122,764,761.71
  5. Step 5: Solve for x
    x = 122,764,761.71/11,241.39
  6. Step 6: Final answer
    x = 10,920.78

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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.