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Finding the Fourth Proportional to 11,544.74, 17,303.44 and 5,299.49

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Solution

The fourth proportional to 11,544.74, 17,303.44 and 5,299.49 is: 7,942.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.74 : 17,303.44 = 5,299.49 : x
  2. Step 2: Convert to fraction form
    11,544.74/17,303.44 = 5,299.49/x
  3. Step 3: Cross multiply
    11,544.74x = 17,303.44 × 5,299.49
  4. Step 4: Simplify right side
    11,544.74x = 91,699,380.75
  5. Step 5: Solve for x
    x = 91,699,380.75/11,544.74
  6. Step 6: Final answer
    x = 7,942.96

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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.