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Finding the Fourth Proportional to 8,633.20, 11,906.94 and 5,605

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Solution

The fourth proportional to 8,633.20, 11,906.94 and 5,605 is: 7,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633.20 : 11,906.94 = 5,605 : x
  2. Step 2: Convert to fraction form
    8,633.20/11,906.94 = 5,605/x
  3. Step 3: Cross multiply
    8,633.20x = 11,906.94 × 5,605
  4. Step 4: Simplify right side
    8,633.20x = 66,738,398.70
  5. Step 5: Solve for x
    x = 66,738,398.70/8,633.20
  6. Step 6: Final answer
    x = 7,730.44

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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.