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Finding the Fourth Proportional to 11,505.66, 17,257.52 and 3,185.78

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Solution

The fourth proportional to 11,505.66, 17,257.52 and 3,185.78 is: 4,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.66 : 17,257.52 = 3,185.78 : x
  2. Step 2: Convert to fraction form
    11,505.66/17,257.52 = 3,185.78/x
  3. Step 3: Cross multiply
    11,505.66x = 17,257.52 × 3,185.78
  4. Step 4: Simplify right side
    11,505.66x = 54,978,662.07
  5. Step 5: Solve for x
    x = 54,978,662.07/11,505.66
  6. Step 6: Final answer
    x = 4,778.40

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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.