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Finding the Fourth Proportional to 8,196.98, 11,311.41 and 4,470.26

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Solution

The fourth proportional to 8,196.98, 11,311.41 and 4,470.26 is: 6,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.98 : 11,311.41 = 4,470.26 : x
  2. Step 2: Convert to fraction form
    8,196.98/11,311.41 = 4,470.26/x
  3. Step 3: Cross multiply
    8,196.98x = 11,311.41 × 4,470.26
  4. Step 4: Simplify right side
    8,196.98x = 50,564,943.67
  5. Step 5: Solve for x
    x = 50,564,943.67/8,196.98
  6. Step 6: Final answer
    x = 6,168.73

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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.