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Finding the Fourth Proportional to 11,597.69, 17,382.27 and 5,349.03

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Solution

The fourth proportional to 11,597.69, 17,382.27 and 5,349.03 is: 8,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.69 : 17,382.27 = 5,349.03 : x
  2. Step 2: Convert to fraction form
    11,597.69/17,382.27 = 5,349.03/x
  3. Step 3: Cross multiply
    11,597.69x = 17,382.27 × 5,349.03
  4. Step 4: Simplify right side
    11,597.69x = 92,978,283.70
  5. Step 5: Solve for x
    x = 92,978,283.70/11,597.69
  6. Step 6: Final answer
    x = 8,016.97

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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.