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Finding the Fourth Proportional to 11,806.24, 16,294 and 6,771.04

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Solution

The fourth proportional to 11,806.24, 16,294 and 6,771.04 is: 9,344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.24 : 16,294 = 6,771.04 : x
  2. Step 2: Convert to fraction form
    11,806.24/16,294 = 6,771.04/x
  3. Step 3: Cross multiply
    11,806.24x = 16,294 × 6,771.04
  4. Step 4: Simplify right side
    11,806.24x = 110,327,325.76
  5. Step 5: Solve for x
    x = 110,327,325.76/11,806.24
  6. Step 6: Final answer
    x = 9,344.83

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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.