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Finding the Fourth Proportional to 8,614.98, 12,914.27 and 2,767.49

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Solution

The fourth proportional to 8,614.98, 12,914.27 and 2,767.49 is: 4,148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.98 : 12,914.27 = 2,767.49 : x
  2. Step 2: Convert to fraction form
    8,614.98/12,914.27 = 2,767.49/x
  3. Step 3: Cross multiply
    8,614.98x = 12,914.27 × 2,767.49
  4. Step 4: Simplify right side
    8,614.98x = 35,740,113.08
  5. Step 5: Solve for x
    x = 35,740,113.08/8,614.98
  6. Step 6: Final answer
    x = 4,148.60

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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.