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Finding the Fourth Proportional to 11,817.96, 17,727.88 and 3,920.19

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Solution

The fourth proportional to 11,817.96, 17,727.88 and 3,920.19 is: 5,880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.96 : 17,727.88 = 3,920.19 : x
  2. Step 2: Convert to fraction form
    11,817.96/17,727.88 = 3,920.19/x
  3. Step 3: Cross multiply
    11,817.96x = 17,727.88 × 3,920.19
  4. Step 4: Simplify right side
    11,817.96x = 69,496,657.90
  5. Step 5: Solve for x
    x = 69,496,657.90/11,817.96
  6. Step 6: Final answer
    x = 5,880.60

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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.