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Finding the Fourth Proportional to 8,201.67, 12,306.11 and 4,305.17

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Solution

The fourth proportional to 8,201.67, 12,306.11 and 4,305.17 is: 6,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.67 : 12,306.11 = 4,305.17 : x
  2. Step 2: Convert to fraction form
    8,201.67/12,306.11 = 4,305.17/x
  3. Step 3: Cross multiply
    8,201.67x = 12,306.11 × 4,305.17
  4. Step 4: Simplify right side
    8,201.67x = 52,979,812.53
  5. Step 5: Solve for x
    x = 52,979,812.53/8,201.67
  6. Step 6: Final answer
    x = 6,459.64

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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.