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Finding the Fourth Proportional to 8,536.49, 12,806.64 and 2,614.21

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Solution

The fourth proportional to 8,536.49, 12,806.64 and 2,614.21 is: 3,921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.49 : 12,806.64 = 2,614.21 : x
  2. Step 2: Convert to fraction form
    8,536.49/12,806.64 = 2,614.21/x
  3. Step 3: Cross multiply
    8,536.49x = 12,806.64 × 2,614.21
  4. Step 4: Simplify right side
    8,536.49x = 33,479,246.35
  5. Step 5: Solve for x
    x = 33,479,246.35/8,536.49
  6. Step 6: Final answer
    x = 3,921.90

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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.