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Finding the Fourth Proportional to 10,806.76, 16,164.06 and 6,636.52

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Solution

The fourth proportional to 10,806.76, 16,164.06 and 6,636.52 is: 9,926.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.76 : 16,164.06 = 6,636.52 : x
  2. Step 2: Convert to fraction form
    10,806.76/16,164.06 = 6,636.52/x
  3. Step 3: Cross multiply
    10,806.76x = 16,164.06 × 6,636.52
  4. Step 4: Simplify right side
    10,806.76x = 107,273,107.47
  5. Step 5: Solve for x
    x = 107,273,107.47/10,806.76
  6. Step 6: Final answer
    x = 9,926.48

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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.