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Finding the Fourth Proportional to 6,680.75, 9,997.83 and 4,046.76

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Solution

The fourth proportional to 6,680.75, 9,997.83 and 4,046.76 is: 6,056.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.75 : 9,997.83 = 4,046.76 : x
  2. Step 2: Convert to fraction form
    6,680.75/9,997.83 = 4,046.76/x
  3. Step 3: Cross multiply
    6,680.75x = 9,997.83 × 4,046.76
  4. Step 4: Simplify right side
    6,680.75x = 40,458,818.53
  5. Step 5: Solve for x
    x = 40,458,818.53/6,680.75
  6. Step 6: Final answer
    x = 6,056.03

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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.