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Finding the Fourth Proportional to 8,197.97, 11,311.46 and 5,212.72

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Solution

The fourth proportional to 8,197.97, 11,311.46 and 5,212.72 is: 7,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.97 : 11,311.46 = 5,212.72 : x
  2. Step 2: Convert to fraction form
    8,197.97/11,311.46 = 5,212.72/x
  3. Step 3: Cross multiply
    8,197.97x = 11,311.46 × 5,212.72
  4. Step 4: Simplify right side
    8,197.97x = 58,963,417.21
  5. Step 5: Solve for x
    x = 58,963,417.21/8,197.97
  6. Step 6: Final answer
    x = 7,192.44

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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.