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Finding the Fourth Proportional to 7,923.46, 11,882 and 2,990.42

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Solution

The fourth proportional to 7,923.46, 11,882 and 2,990.42 is: 4,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.46 : 11,882 = 2,990.42 : x
  2. Step 2: Convert to fraction form
    7,923.46/11,882 = 2,990.42/x
  3. Step 3: Cross multiply
    7,923.46x = 11,882 × 2,990.42
  4. Step 4: Simplify right side
    7,923.46x = 35,532,170.44
  5. Step 5: Solve for x
    x = 35,532,170.44/7,923.46
  6. Step 6: Final answer
    x = 4,484.43

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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.