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Finding the Fourth Proportional to 8,199.57, 11,315.38 and 4,662.78

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Solution

The fourth proportional to 8,199.57, 11,315.38 and 4,662.78 is: 6,434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.57 : 11,315.38 = 4,662.78 : x
  2. Step 2: Convert to fraction form
    8,199.57/11,315.38 = 4,662.78/x
  3. Step 3: Cross multiply
    8,199.57x = 11,315.38 × 4,662.78
  4. Step 4: Simplify right side
    8,199.57x = 52,761,127.56
  5. Step 5: Solve for x
    x = 52,761,127.56/8,199.57
  6. Step 6: Final answer
    x = 6,434.62

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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.