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Finding the Fourth Proportional to 10,682.60, 16,004.70 and 9,453.80

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Solution

The fourth proportional to 10,682.60, 16,004.70 and 9,453.80 is: 14,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.60 : 16,004.70 = 9,453.80 : x
  2. Step 2: Convert to fraction form
    10,682.60/16,004.70 = 9,453.80/x
  3. Step 3: Cross multiply
    10,682.60x = 16,004.70 × 9,453.80
  4. Step 4: Simplify right side
    10,682.60x = 151,305,232.86
  5. Step 5: Solve for x
    x = 151,305,232.86/10,682.60
  6. Step 6: Final answer
    x = 14,163.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.