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Finding the Fourth Proportional to 8,604.60, 12,906.96 and 3,410.47

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Solution

The fourth proportional to 8,604.60, 12,906.96 and 3,410.47 is: 5,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,604.60 : 12,906.96 = 3,410.47 : x
  2. Step 2: Convert to fraction form
    8,604.60/12,906.96 = 3,410.47/x
  3. Step 3: Cross multiply
    8,604.60x = 12,906.96 × 3,410.47
  4. Step 4: Simplify right side
    8,604.60x = 44,018,799.87
  5. Step 5: Solve for x
    x = 44,018,799.87/8,604.60
  6. Step 6: Final answer
    x = 5,115.73

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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.