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Finding the Fourth Proportional to 11,596.93, 17,381.15 and 5,348.27

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Solution

The fourth proportional to 11,596.93, 17,381.15 and 5,348.27 is: 8,015.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.93 : 17,381.15 = 5,348.27 : x
  2. Step 2: Convert to fraction form
    11,596.93/17,381.15 = 5,348.27/x
  3. Step 3: Cross multiply
    11,596.93x = 17,381.15 × 5,348.27
  4. Step 4: Simplify right side
    11,596.93x = 92,959,083.11
  5. Step 5: Solve for x
    x = 92,959,083.11/11,596.93
  6. Step 6: Final answer
    x = 8,015.84

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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.