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Finding the Fourth Proportional to 11,516.22, 15,871.54 and 8,664.22

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Solution

The fourth proportional to 11,516.22, 15,871.54 and 8,664.22 is: 11,940.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.22 : 15,871.54 = 8,664.22 : x
  2. Step 2: Convert to fraction form
    11,516.22/15,871.54 = 8,664.22/x
  3. Step 3: Cross multiply
    11,516.22x = 15,871.54 × 8,664.22
  4. Step 4: Simplify right side
    11,516.22x = 137,514,514.30
  5. Step 5: Solve for x
    x = 137,514,514.30/11,516.22
  6. Step 6: Final answer
    x = 11,940.94

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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.