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Finding the Fourth Proportional to 8,204.39, 12,305.97 and 4,910.12

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Solution

The fourth proportional to 8,204.39, 12,305.97 and 4,910.12 is: 7,364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.39 : 12,305.97 = 4,910.12 : x
  2. Step 2: Convert to fraction form
    8,204.39/12,305.97 = 4,910.12/x
  3. Step 3: Cross multiply
    8,204.39x = 12,305.97 × 4,910.12
  4. Step 4: Simplify right side
    8,204.39x = 60,423,727.89
  5. Step 5: Solve for x
    x = 60,423,727.89/8,204.39
  6. Step 6: Final answer
    x = 7,364.81

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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.