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Finding the Fourth Proportional to 11,806.95, 16,289.19 and 6,769.38

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Solution

The fourth proportional to 11,806.95, 16,289.19 and 6,769.38 is: 9,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.95 : 16,289.19 = 6,769.38 : x
  2. Step 2: Convert to fraction form
    11,806.95/16,289.19 = 6,769.38/x
  3. Step 3: Cross multiply
    11,806.95x = 16,289.19 × 6,769.38
  4. Step 4: Simplify right side
    11,806.95x = 110,267,717.00
  5. Step 5: Solve for x
    x = 110,267,717.00/11,806.95
  6. Step 6: Final answer
    x = 9,339.22

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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.