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Finding the Fourth Proportional to 8,208.18, 11,327.78 and 4,671.41

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Solution

The fourth proportional to 8,208.18, 11,327.78 and 4,671.41 is: 6,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.18 : 11,327.78 = 4,671.41 : x
  2. Step 2: Convert to fraction form
    8,208.18/11,327.78 = 4,671.41/x
  3. Step 3: Cross multiply
    8,208.18x = 11,327.78 × 4,671.41
  4. Step 4: Simplify right side
    8,208.18x = 52,916,709.73
  5. Step 5: Solve for x
    x = 52,916,709.73/8,208.18
  6. Step 6: Final answer
    x = 6,446.83

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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.