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Finding the Fourth Proportional to 8,466.12, 11,671.70 and 5,633.62

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Solution

The fourth proportional to 8,466.12, 11,671.70 and 5,633.62 is: 7,766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.12 : 11,671.70 = 5,633.62 : x
  2. Step 2: Convert to fraction form
    8,466.12/11,671.70 = 5,633.62/x
  3. Step 3: Cross multiply
    8,466.12x = 11,671.70 × 5,633.62
  4. Step 4: Simplify right side
    8,466.12x = 65,753,865.21
  5. Step 5: Solve for x
    x = 65,753,865.21/8,466.12
  6. Step 6: Final answer
    x = 7,766.71

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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.