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Finding the Fourth Proportional to 11,447.81, 17,170.32 and 5,201.18

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Solution

The fourth proportional to 11,447.81, 17,170.32 and 5,201.18 is: 7,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.81 : 17,170.32 = 5,201.18 : x
  2. Step 2: Convert to fraction form
    11,447.81/17,170.32 = 5,201.18/x
  3. Step 3: Cross multiply
    11,447.81x = 17,170.32 × 5,201.18
  4. Step 4: Simplify right side
    11,447.81x = 89,305,924.98
  5. Step 5: Solve for x
    x = 89,305,924.98/11,447.81
  6. Step 6: Final answer
    x = 7,801.14

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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.