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Finding the Fourth Proportional to 7,211.62, 9,968.97 and 5,133.70

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Solution

The fourth proportional to 7,211.62, 9,968.97 and 5,133.70 is: 7,096.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.62 : 9,968.97 = 5,133.70 : x
  2. Step 2: Convert to fraction form
    7,211.62/9,968.97 = 5,133.70/x
  3. Step 3: Cross multiply
    7,211.62x = 9,968.97 × 5,133.70
  4. Step 4: Simplify right side
    7,211.62x = 51,177,701.29
  5. Step 5: Solve for x
    x = 51,177,701.29/7,211.62
  6. Step 6: Final answer
    x = 7,096.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.