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Finding the Fourth Proportional to 8,221.14, 11,341.08 and 5,194.92

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Solution

The fourth proportional to 8,221.14, 11,341.08 and 5,194.92 is: 7,166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.14 : 11,341.08 = 5,194.92 : x
  2. Step 2: Convert to fraction form
    8,221.14/11,341.08 = 5,194.92/x
  3. Step 3: Cross multiply
    8,221.14x = 11,341.08 × 5,194.92
  4. Step 4: Simplify right side
    8,221.14x = 58,916,003.31
  5. Step 5: Solve for x
    x = 58,916,003.31/8,221.14
  6. Step 6: Final answer
    x = 7,166.40

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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.