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Finding the Fourth Proportional to 11,841.89, 16,343.19 and 6,806.30

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Solution

The fourth proportional to 11,841.89, 16,343.19 and 6,806.30 is: 9,393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.89 : 16,343.19 = 6,806.30 : x
  2. Step 2: Convert to fraction form
    11,841.89/16,343.19 = 6,806.30/x
  3. Step 3: Cross multiply
    11,841.89x = 16,343.19 × 6,806.30
  4. Step 4: Simplify right side
    11,841.89x = 111,236,572.38
  5. Step 5: Solve for x
    x = 111,236,572.38/11,841.89
  6. Step 6: Final answer
    x = 9,393.49

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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.