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Finding the Fourth Proportional to 8,672.44, 13,005.96 and 2,828.20

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Solution

The fourth proportional to 8,672.44, 13,005.96 and 2,828.20 is: 4,241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,672.44 : 13,005.96 = 2,828.20 : x
  2. Step 2: Convert to fraction form
    8,672.44/13,005.96 = 2,828.20/x
  3. Step 3: Cross multiply
    8,672.44x = 13,005.96 × 2,828.20
  4. Step 4: Simplify right side
    8,672.44x = 36,783,456.07
  5. Step 5: Solve for x
    x = 36,783,456.07/8,672.44
  6. Step 6: Final answer
    x = 4,241.42

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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.