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Finding the Fourth Proportional to 8,209.68, 12,310.12 and 2,586.30

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Solution

The fourth proportional to 8,209.68, 12,310.12 and 2,586.30 is: 3,878.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.68 : 12,310.12 = 2,586.30 : x
  2. Step 2: Convert to fraction form
    8,209.68/12,310.12 = 2,586.30/x
  3. Step 3: Cross multiply
    8,209.68x = 12,310.12 × 2,586.30
  4. Step 4: Simplify right side
    8,209.68x = 31,837,675.12
  5. Step 5: Solve for x
    x = 31,837,675.12/8,209.68
  6. Step 6: Final answer
    x = 3,878.06

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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.