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Finding the Fourth Proportional to 8,372.92, 12,561.69 and 3,696.66

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Solution

The fourth proportional to 8,372.92, 12,561.69 and 3,696.66 is: 5,546.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,372.92 : 12,561.69 = 3,696.66 : x
  2. Step 2: Convert to fraction form
    8,372.92/12,561.69 = 3,696.66/x
  3. Step 3: Cross multiply
    8,372.92x = 12,561.69 × 3,696.66
  4. Step 4: Simplify right side
    8,372.92x = 46,436,234.15
  5. Step 5: Solve for x
    x = 46,436,234.15/8,372.92
  6. Step 6: Final answer
    x = 5,546.00

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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.