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Finding the Fourth Proportional to 8,310.45, 12,465.68 and 6,845.97

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Solution

The fourth proportional to 8,310.45, 12,465.68 and 6,845.97 is: 10,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.45 : 12,465.68 = 6,845.97 : x
  2. Step 2: Convert to fraction form
    8,310.45/12,465.68 = 6,845.97/x
  3. Step 3: Cross multiply
    8,310.45x = 12,465.68 × 6,845.97
  4. Step 4: Simplify right side
    8,310.45x = 85,339,637.08
  5. Step 5: Solve for x
    x = 85,339,637.08/8,310.45
  6. Step 6: Final answer
    x = 10,268.96

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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.