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Finding the Fourth Proportional to 8,626.34, 12,936.74 and 2,781.58

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Solution

The fourth proportional to 8,626.34, 12,936.74 and 2,781.58 is: 4,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,626.34 : 12,936.74 = 2,781.58 : x
  2. Step 2: Convert to fraction form
    8,626.34/12,936.74 = 2,781.58/x
  3. Step 3: Cross multiply
    8,626.34x = 12,936.74 × 2,781.58
  4. Step 4: Simplify right side
    8,626.34x = 35,984,577.25
  5. Step 5: Solve for x
    x = 35,984,577.25/8,626.34
  6. Step 6: Final answer
    x = 4,171.48

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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.