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Finding the Fourth Proportional to 8,536.95, 12,805.52 and 3,274.38

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Solution

The fourth proportional to 8,536.95, 12,805.52 and 3,274.38 is: 4,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.95 : 12,805.52 = 3,274.38 : x
  2. Step 2: Convert to fraction form
    8,536.95/12,805.52 = 3,274.38/x
  3. Step 3: Cross multiply
    8,536.95x = 12,805.52 × 3,274.38
  4. Step 4: Simplify right side
    8,536.95x = 41,930,122.21
  5. Step 5: Solve for x
    x = 41,930,122.21/8,536.95
  6. Step 6: Final answer
    x = 4,911.60

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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.