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Finding the Fourth Proportional to 8,186.96, 12,282.71 and 3,260.06

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Solution

The fourth proportional to 8,186.96, 12,282.71 and 3,260.06 is: 4,890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.96 : 12,282.71 = 3,260.06 : x
  2. Step 2: Convert to fraction form
    8,186.96/12,282.71 = 3,260.06/x
  3. Step 3: Cross multiply
    8,186.96x = 12,282.71 × 3,260.06
  4. Step 4: Simplify right side
    8,186.96x = 40,042,371.56
  5. Step 5: Solve for x
    x = 40,042,371.56/8,186.96
  6. Step 6: Final answer
    x = 4,890.99

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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.