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Finding the Fourth Proportional to 11,441.20, 17,150.12 and 6,500.40

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Solution

The fourth proportional to 11,441.20, 17,150.12 and 6,500.40 is: 9,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.20 : 17,150.12 = 6,500.40 : x
  2. Step 2: Convert to fraction form
    11,441.20/17,150.12 = 6,500.40/x
  3. Step 3: Cross multiply
    11,441.20x = 17,150.12 × 6,500.40
  4. Step 4: Simplify right side
    11,441.20x = 111,482,640.05
  5. Step 5: Solve for x
    x = 111,482,640.05/11,441.20
  6. Step 6: Final answer
    x = 9,743.96

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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.