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Finding the Fourth Proportional to 8,396.56, 12,600.50 and 3,466.09

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Solution

The fourth proportional to 8,396.56, 12,600.50 and 3,466.09 is: 5,201.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.56 : 12,600.50 = 3,466.09 : x
  2. Step 2: Convert to fraction form
    8,396.56/12,600.50 = 3,466.09/x
  3. Step 3: Cross multiply
    8,396.56x = 12,600.50 × 3,466.09
  4. Step 4: Simplify right side
    8,396.56x = 43,674,467.05
  5. Step 5: Solve for x
    x = 43,674,467.05/8,396.56
  6. Step 6: Final answer
    x = 5,201.47

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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.