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Finding the Fourth Proportional to 8,416.92, 12,626.48 and 2,868.78

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Solution

The fourth proportional to 8,416.92, 12,626.48 and 2,868.78 is: 4,303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.92 : 12,626.48 = 2,868.78 : x
  2. Step 2: Convert to fraction form
    8,416.92/12,626.48 = 2,868.78/x
  3. Step 3: Cross multiply
    8,416.92x = 12,626.48 × 2,868.78
  4. Step 4: Simplify right side
    8,416.92x = 36,222,593.29
  5. Step 5: Solve for x
    x = 36,222,593.29/8,416.92
  6. Step 6: Final answer
    x = 4,303.54

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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.