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Finding the Fourth Proportional to 7,481.12, 11,190.84 and 6,149.88

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Solution

The fourth proportional to 7,481.12, 11,190.84 and 6,149.88 is: 9,199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481.12 : 11,190.84 = 6,149.88 : x
  2. Step 2: Convert to fraction form
    7,481.12/11,190.84 = 6,149.88/x
  3. Step 3: Cross multiply
    7,481.12x = 11,190.84 × 6,149.88
  4. Step 4: Simplify right side
    7,481.12x = 68,822,323.10
  5. Step 5: Solve for x
    x = 68,822,323.10/7,481.12
  6. Step 6: Final answer
    x = 9,199.47

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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.