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Finding the Fourth Proportional to 8,214.59, 12,327.82 and 3,285.60

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Solution

The fourth proportional to 8,214.59, 12,327.82 and 3,285.60 is: 4,930.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.59 : 12,327.82 = 3,285.60 : x
  2. Step 2: Convert to fraction form
    8,214.59/12,327.82 = 3,285.60/x
  3. Step 3: Cross multiply
    8,214.59x = 12,327.82 × 3,285.60
  4. Step 4: Simplify right side
    8,214.59x = 40,504,285.39
  5. Step 5: Solve for x
    x = 40,504,285.39/8,214.59
  6. Step 6: Final answer
    x = 4,930.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.