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Finding the Fourth Proportional to 11,021.94, 16,512.05 and 8,544.62

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Solution

The fourth proportional to 11,021.94, 16,512.05 and 8,544.62 is: 12,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,021.94 : 16,512.05 = 8,544.62 : x
  2. Step 2: Convert to fraction form
    11,021.94/16,512.05 = 8,544.62/x
  3. Step 3: Cross multiply
    11,021.94x = 16,512.05 × 8,544.62
  4. Step 4: Simplify right side
    11,021.94x = 141,089,255.31
  5. Step 5: Solve for x
    x = 141,089,255.31/11,021.94
  6. Step 6: Final answer
    x = 12,800.76

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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.