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Finding the Fourth Proportional to 11,596.69, 17,380.77 and 5,348.03

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Solution

The fourth proportional to 11,596.69, 17,380.77 and 5,348.03 is: 8,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.69 : 17,380.77 = 5,348.03 : x
  2. Step 2: Convert to fraction form
    11,596.69/17,380.77 = 5,348.03/x
  3. Step 3: Cross multiply
    11,596.69x = 17,380.77 × 5,348.03
  4. Step 4: Simplify right side
    11,596.69x = 92,952,792.48
  5. Step 5: Solve for x
    x = 92,952,792.48/11,596.69
  6. Step 6: Final answer
    x = 8,015.46

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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.