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Finding the Fourth Proportional to 11,221.92, 15,486.66 and 6,186.42

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Solution

The fourth proportional to 11,221.92, 15,486.66 and 6,186.42 is: 8,537.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.92 : 15,486.66 = 6,186.42 : x
  2. Step 2: Convert to fraction form
    11,221.92/15,486.66 = 6,186.42/x
  3. Step 3: Cross multiply
    11,221.92x = 15,486.66 × 6,186.42
  4. Step 4: Simplify right side
    11,221.92x = 95,806,983.16
  5. Step 5: Solve for x
    x = 95,806,983.16/11,221.92
  6. Step 6: Final answer
    x = 8,537.49

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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.