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Finding the Fourth Proportional to 11,863.20, 17,793.96 and 4,071.84

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Solution

The fourth proportional to 11,863.20, 17,793.96 and 4,071.84 is: 6,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.20 : 17,793.96 = 4,071.84 : x
  2. Step 2: Convert to fraction form
    11,863.20/17,793.96 = 4,071.84/x
  3. Step 3: Cross multiply
    11,863.20x = 17,793.96 × 4,071.84
  4. Step 4: Simplify right side
    11,863.20x = 72,454,158.09
  5. Step 5: Solve for x
    x = 72,454,158.09/11,863.20
  6. Step 6: Final answer
    x = 6,107.47

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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.