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Finding the Fourth Proportional to 10,806.50, 14,912.97 and 5,838.50

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Solution

The fourth proportional to 10,806.50, 14,912.97 and 5,838.50 is: 8,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.50 : 14,912.97 = 5,838.50 : x
  2. Step 2: Convert to fraction form
    10,806.50/14,912.97 = 5,838.50/x
  3. Step 3: Cross multiply
    10,806.50x = 14,912.97 × 5,838.50
  4. Step 4: Simplify right side
    10,806.50x = 87,069,375.35
  5. Step 5: Solve for x
    x = 87,069,375.35/10,806.50
  6. Step 6: Final answer
    x = 8,057.13

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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.