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Finding the Fourth Proportional to 8,208.45, 11,327.78 and 4,671.66

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Solution

The fourth proportional to 8,208.45, 11,327.78 and 4,671.66 is: 6,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.45 : 11,327.78 = 4,671.66 : x
  2. Step 2: Convert to fraction form
    8,208.45/11,327.78 = 4,671.66/x
  3. Step 3: Cross multiply
    8,208.45x = 11,327.78 × 4,671.66
  4. Step 4: Simplify right side
    8,208.45x = 52,919,513.36
  5. Step 5: Solve for x
    x = 52,919,513.36/8,208.45
  6. Step 6: Final answer
    x = 6,446.96

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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.