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Finding the Fourth Proportional to 10,685.43, 16,027.97 and 4,113.04

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Solution

The fourth proportional to 10,685.43, 16,027.97 and 4,113.04 is: 6,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.43 : 16,027.97 = 4,113.04 : x
  2. Step 2: Convert to fraction form
    10,685.43/16,027.97 = 4,113.04/x
  3. Step 3: Cross multiply
    10,685.43x = 16,027.97 × 4,113.04
  4. Step 4: Simplify right side
    10,685.43x = 65,923,681.73
  5. Step 5: Solve for x
    x = 65,923,681.73/10,685.43
  6. Step 6: Final answer
    x = 6,169.49

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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.