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Finding the Fourth Proportional to 8,536.88, 12,805.98 and 3,274.41

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Solution

The fourth proportional to 8,536.88, 12,805.98 and 3,274.41 is: 4,911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.88 : 12,805.98 = 3,274.41 : x
  2. Step 2: Convert to fraction form
    8,536.88/12,805.98 = 3,274.41/x
  3. Step 3: Cross multiply
    8,536.88x = 12,805.98 × 3,274.41
  4. Step 4: Simplify right side
    8,536.88x = 41,932,028.97
  5. Step 5: Solve for x
    x = 41,932,028.97/8,536.88
  6. Step 6: Final answer
    x = 4,911.87

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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.