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Finding the Fourth Proportional to 8,066, 12,100.92 and 2,594

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Solution

The fourth proportional to 8,066, 12,100.92 and 2,594 is: 3,891.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,066 : 12,100.92 = 2,594 : x
  2. Step 2: Convert to fraction form
    8,066/12,100.92 = 2,594/x
  3. Step 3: Cross multiply
    8,066x = 12,100.92 × 2,594
  4. Step 4: Simplify right side
    8,066x = 31,389,786.48
  5. Step 5: Solve for x
    x = 31,389,786.48/8,066
  6. Step 6: Final answer
    x = 3,891.62

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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.