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Finding the Fourth Proportional to 8,672.96, 11,973.84 and 5,694

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Solution

The fourth proportional to 8,672.96, 11,973.84 and 5,694 is: 7,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,672.96 : 11,973.84 = 5,694 : x
  2. Step 2: Convert to fraction form
    8,672.96/11,973.84 = 5,694/x
  3. Step 3: Cross multiply
    8,672.96x = 11,973.84 × 5,694
  4. Step 4: Simplify right side
    8,672.96x = 68,179,044.96
  5. Step 5: Solve for x
    x = 68,179,044.96/8,672.96
  6. Step 6: Final answer
    x = 7,861.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.