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Finding the Fourth Proportional to 11,181.88, 15,431.34 and 8,382.52

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Solution

The fourth proportional to 11,181.88, 15,431.34 and 8,382.52 is: 11,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,181.88 : 15,431.34 = 8,382.52 : x
  2. Step 2: Convert to fraction form
    11,181.88/15,431.34 = 8,382.52/x
  3. Step 3: Cross multiply
    11,181.88x = 15,431.34 × 8,382.52
  4. Step 4: Simplify right side
    11,181.88x = 129,353,516.18
  5. Step 5: Solve for x
    x = 129,353,516.18/11,181.88
  6. Step 6: Final answer
    x = 11,568.14

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Why These Related Problems?

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