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Finding the Fourth Proportional to 11,967.96, 16,513.27 and 7,251.33

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Solution

The fourth proportional to 11,967.96, 16,513.27 and 7,251.33 is: 10,005.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.96 : 16,513.27 = 7,251.33 : x
  2. Step 2: Convert to fraction form
    11,967.96/16,513.27 = 7,251.33/x
  3. Step 3: Cross multiply
    11,967.96x = 16,513.27 × 7,251.33
  4. Step 4: Simplify right side
    11,967.96x = 119,743,170.15
  5. Step 5: Solve for x
    x = 119,743,170.15/11,967.96
  6. Step 6: Final answer
    x = 10,005.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.