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Finding the Fourth Proportional to 8,242.62, 12,364.50 and 2,694.48

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Solution

The fourth proportional to 8,242.62, 12,364.50 and 2,694.48 is: 4,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.62 : 12,364.50 = 2,694.48 : x
  2. Step 2: Convert to fraction form
    8,242.62/12,364.50 = 2,694.48/x
  3. Step 3: Cross multiply
    8,242.62x = 12,364.50 × 2,694.48
  4. Step 4: Simplify right side
    8,242.62x = 33,315,897.96
  5. Step 5: Solve for x
    x = 33,315,897.96/8,242.62
  6. Step 6: Final answer
    x = 4,041.91

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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.