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Finding the Fourth Proportional to 8,210.76, 12,286.97 and 5,992.17

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Solution

The fourth proportional to 8,210.76, 12,286.97 and 5,992.17 is: 8,966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.76 : 12,286.97 = 5,992.17 : x
  2. Step 2: Convert to fraction form
    8,210.76/12,286.97 = 5,992.17/x
  3. Step 3: Cross multiply
    8,210.76x = 12,286.97 × 5,992.17
  4. Step 4: Simplify right side
    8,210.76x = 73,625,613.02
  5. Step 5: Solve for x
    x = 73,625,613.02/8,210.76
  6. Step 6: Final answer
    x = 8,966.97

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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.