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Finding the Fourth Proportional to 8,410.38, 12,615.80 and 2,566.98

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Solution

The fourth proportional to 8,410.38, 12,615.80 and 2,566.98 is: 3,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.38 : 12,615.80 = 2,566.98 : x
  2. Step 2: Convert to fraction form
    8,410.38/12,615.80 = 2,566.98/x
  3. Step 3: Cross multiply
    8,410.38x = 12,615.80 × 2,566.98
  4. Step 4: Simplify right side
    8,410.38x = 32,384,493.45
  5. Step 5: Solve for x
    x = 32,384,493.45/8,410.38
  6. Step 6: Final answer
    x = 3,850.54

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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.