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Finding the Fourth Proportional to 8,626.15, 12,937.81 and 2,782

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Solution

The fourth proportional to 8,626.15, 12,937.81 and 2,782 is: 4,172.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,626.15 : 12,937.81 = 2,782 : x
  2. Step 2: Convert to fraction form
    8,626.15/12,937.81 = 2,782/x
  3. Step 3: Cross multiply
    8,626.15x = 12,937.81 × 2,782
  4. Step 4: Simplify right side
    8,626.15x = 35,992,987.42
  5. Step 5: Solve for x
    x = 35,992,987.42/8,626.15
  6. Step 6: Final answer
    x = 4,172.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.