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Finding the Fourth Proportional to 8,199.17, 11,314.79 and 4,662.38

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Solution

The fourth proportional to 8,199.17, 11,314.79 and 4,662.38 is: 6,434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.17 : 11,314.79 = 4,662.38 : x
  2. Step 2: Convert to fraction form
    8,199.17/11,314.79 = 4,662.38/x
  3. Step 3: Cross multiply
    8,199.17x = 11,314.79 × 4,662.38
  4. Step 4: Simplify right side
    8,199.17x = 52,753,794.03
  5. Step 5: Solve for x
    x = 52,753,794.03/8,199.17
  6. Step 6: Final answer
    x = 6,434.04

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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.