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Finding the Fourth Proportional to 8,206.92, 12,302.82 and 2,657.41

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Solution

The fourth proportional to 8,206.92, 12,302.82 and 2,657.41 is: 3,983.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.92 : 12,302.82 = 2,657.41 : x
  2. Step 2: Convert to fraction form
    8,206.92/12,302.82 = 2,657.41/x
  3. Step 3: Cross multiply
    8,206.92x = 12,302.82 × 2,657.41
  4. Step 4: Simplify right side
    8,206.92x = 32,693,606.14
  5. Step 5: Solve for x
    x = 32,693,606.14/8,206.92
  6. Step 6: Final answer
    x = 3,983.66

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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.