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Finding the Fourth Proportional to 11,431.78, 17,149.72 and 4,040.53

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Solution

The fourth proportional to 11,431.78, 17,149.72 and 4,040.53 is: 6,061.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.78 : 17,149.72 = 4,040.53 : x
  2. Step 2: Convert to fraction form
    11,431.78/17,149.72 = 4,040.53/x
  3. Step 3: Cross multiply
    11,431.78x = 17,149.72 × 4,040.53
  4. Step 4: Simplify right side
    11,431.78x = 69,293,958.15
  5. Step 5: Solve for x
    x = 69,293,958.15/11,431.78
  6. Step 6: Final answer
    x = 6,061.52

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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.