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Finding the Fourth Proportional to 11,003.42, 16,505.70 and 3,212.84

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Solution

The fourth proportional to 11,003.42, 16,505.70 and 3,212.84 is: 4,819.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,003.42 : 16,505.70 = 3,212.84 : x
  2. Step 2: Convert to fraction form
    11,003.42/16,505.70 = 3,212.84/x
  3. Step 3: Cross multiply
    11,003.42x = 16,505.70 × 3,212.84
  4. Step 4: Simplify right side
    11,003.42x = 53,030,173.19
  5. Step 5: Solve for x
    x = 53,030,173.19/11,003.42
  6. Step 6: Final answer
    x = 4,819.43

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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.