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Finding the Fourth Proportional to 8,537.33, 12,805.53 and 3,274.86

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Solution

The fourth proportional to 8,537.33, 12,805.53 and 3,274.86 is: 4,912.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.33 : 12,805.53 = 3,274.86 : x
  2. Step 2: Convert to fraction form
    8,537.33/12,805.53 = 3,274.86/x
  3. Step 3: Cross multiply
    8,537.33x = 12,805.53 × 3,274.86
  4. Step 4: Simplify right side
    8,537.33x = 41,936,358.18
  5. Step 5: Solve for x
    x = 41,936,358.18/8,537.33
  6. Step 6: Final answer
    x = 4,912.12

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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.