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Finding the Fourth Proportional to 11,837.68, 16,217.51 and 11,394.52

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Solution

The fourth proportional to 11,837.68, 16,217.51 and 11,394.52 is: 15,610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.68 : 16,217.51 = 11,394.52 : x
  2. Step 2: Convert to fraction form
    11,837.68/16,217.51 = 11,394.52/x
  3. Step 3: Cross multiply
    11,837.68x = 16,217.51 × 11,394.52
  4. Step 4: Simplify right side
    11,837.68x = 184,790,742.05
  5. Step 5: Solve for x
    x = 184,790,742.05/11,837.68
  6. Step 6: Final answer
    x = 15,610.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.