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Finding the Fourth Proportional to 8,201.67, 12,301.11 and 3,269.99

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Solution

The fourth proportional to 8,201.67, 12,301.11 and 3,269.99 is: 4,904.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.67 : 12,301.11 = 3,269.99 : x
  2. Step 2: Convert to fraction form
    8,201.67/12,301.11 = 3,269.99/x
  3. Step 3: Cross multiply
    8,201.67x = 12,301.11 × 3,269.99
  4. Step 4: Simplify right side
    8,201.67x = 40,224,445.18
  5. Step 5: Solve for x
    x = 40,224,445.18/8,201.67
  6. Step 6: Final answer
    x = 4,904.42

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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.