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Finding the Fourth Proportional to 10,636.68, 14,679.26 and 6,161.84

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Solution

The fourth proportional to 10,636.68, 14,679.26 and 6,161.84 is: 8,503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.68 : 14,679.26 = 6,161.84 : x
  2. Step 2: Convert to fraction form
    10,636.68/14,679.26 = 6,161.84/x
  3. Step 3: Cross multiply
    10,636.68x = 14,679.26 × 6,161.84
  4. Step 4: Simplify right side
    10,636.68x = 90,451,251.44
  5. Step 5: Solve for x
    x = 90,451,251.44/10,636.68
  6. Step 6: Final answer
    x = 8,503.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.