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Finding the Fourth Proportional to 10,806.06, 16,209.09 and 5,601

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Solution

The fourth proportional to 10,806.06, 16,209.09 and 5,601 is: 8,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.06 : 16,209.09 = 5,601 : x
  2. Step 2: Convert to fraction form
    10,806.06/16,209.09 = 5,601/x
  3. Step 3: Cross multiply
    10,806.06x = 16,209.09 × 5,601
  4. Step 4: Simplify right side
    10,806.06x = 90,787,113.09
  5. Step 5: Solve for x
    x = 90,787,113.09/10,806.06
  6. Step 6: Final answer
    x = 8,401.50

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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.