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Finding the Fourth Proportional to 8,537.58, 12,805.91 and 3,275.12

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Solution

The fourth proportional to 8,537.58, 12,805.91 and 3,275.12 is: 4,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.58 : 12,805.91 = 3,275.12 : x
  2. Step 2: Convert to fraction form
    8,537.58/12,805.91 = 3,275.12/x
  3. Step 3: Cross multiply
    8,537.58x = 12,805.91 × 3,275.12
  4. Step 4: Simplify right side
    8,537.58x = 41,940,811.55
  5. Step 5: Solve for x
    x = 41,940,811.55/8,537.58
  6. Step 6: Final answer
    x = 4,912.49

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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.