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Finding the Fourth Proportional to 11,037.44, 16,559.76 and 5,194.64

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Solution

The fourth proportional to 11,037.44, 16,559.76 and 5,194.64 is: 7,793.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,037.44 : 16,559.76 = 5,194.64 : x
  2. Step 2: Convert to fraction form
    11,037.44/16,559.76 = 5,194.64/x
  3. Step 3: Cross multiply
    11,037.44x = 16,559.76 × 5,194.64
  4. Step 4: Simplify right side
    11,037.44x = 86,021,991.69
  5. Step 5: Solve for x
    x = 86,021,991.69/11,037.44
  6. Step 6: Final answer
    x = 7,793.65

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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.