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Finding the Fourth Proportional to 8,161.78, 12,244.29 and 2,966.98

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Solution

The fourth proportional to 8,161.78, 12,244.29 and 2,966.98 is: 4,451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.78 : 12,244.29 = 2,966.98 : x
  2. Step 2: Convert to fraction form
    8,161.78/12,244.29 = 2,966.98/x
  3. Step 3: Cross multiply
    8,161.78x = 12,244.29 × 2,966.98
  4. Step 4: Simplify right side
    8,161.78x = 36,328,563.54
  5. Step 5: Solve for x
    x = 36,328,563.54/8,161.78
  6. Step 6: Final answer
    x = 4,451.06

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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.