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Finding the Fourth Proportional to 8,046.96, 12,072.26 and 2,852.83

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Solution

The fourth proportional to 8,046.96, 12,072.26 and 2,852.83 is: 4,279.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.96 : 12,072.26 = 2,852.83 : x
  2. Step 2: Convert to fraction form
    8,046.96/12,072.26 = 2,852.83/x
  3. Step 3: Cross multiply
    8,046.96x = 12,072.26 × 2,852.83
  4. Step 4: Simplify right side
    8,046.96x = 34,440,105.50
  5. Step 5: Solve for x
    x = 34,440,105.50/8,046.96
  6. Step 6: Final answer
    x = 4,279.89

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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.