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Finding the Fourth Proportional to 11,291.84, 16,937.04 and 3,500

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Solution

The fourth proportional to 11,291.84, 16,937.04 and 3,500 is: 5,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.84 : 16,937.04 = 3,500 : x
  2. Step 2: Convert to fraction form
    11,291.84/16,937.04 = 3,500/x
  3. Step 3: Cross multiply
    11,291.84x = 16,937.04 × 3,500
  4. Step 4: Simplify right side
    11,291.84x = 59,279,640
  5. Step 5: Solve for x
    x = 59,279,640/11,291.84
  6. Step 6: Final answer
    x = 5,249.78

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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.