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Finding the Fourth Proportional to 8,694.50, 13,042.67 and 2,771.84

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Solution

The fourth proportional to 8,694.50, 13,042.67 and 2,771.84 is: 4,158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.50 : 13,042.67 = 2,771.84 : x
  2. Step 2: Convert to fraction form
    8,694.50/13,042.67 = 2,771.84/x
  3. Step 3: Cross multiply
    8,694.50x = 13,042.67 × 2,771.84
  4. Step 4: Simplify right side
    8,694.50x = 36,152,213.16
  5. Step 5: Solve for x
    x = 36,152,213.16/8,694.50
  6. Step 6: Final answer
    x = 4,158.06

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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.