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Finding the Fourth Proportional to 8,029.50, 12,044.88 and 2,186.34

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Solution

The fourth proportional to 8,029.50, 12,044.88 and 2,186.34 is: 3,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.50 : 12,044.88 = 2,186.34 : x
  2. Step 2: Convert to fraction form
    8,029.50/12,044.88 = 2,186.34/x
  3. Step 3: Cross multiply
    8,029.50x = 12,044.88 × 2,186.34
  4. Step 4: Simplify right side
    8,029.50x = 26,334,202.94
  5. Step 5: Solve for x
    x = 26,334,202.94/8,029.50
  6. Step 6: Final answer
    x = 3,279.68

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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.