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Finding the Fourth Proportional to 11,683.26, 17,524.41 and 6,485.82

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Solution

The fourth proportional to 11,683.26, 17,524.41 and 6,485.82 is: 9,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.26 : 17,524.41 = 6,485.82 : x
  2. Step 2: Convert to fraction form
    11,683.26/17,524.41 = 6,485.82/x
  3. Step 3: Cross multiply
    11,683.26x = 17,524.41 × 6,485.82
  4. Step 4: Simplify right side
    11,683.26x = 113,660,168.87
  5. Step 5: Solve for x
    x = 113,660,168.87/11,683.26
  6. Step 6: Final answer
    x = 9,728.46

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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.