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Finding the Fourth Proportional to 7,121.70, 10,683.09 and 2,191.68

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Solution

The fourth proportional to 7,121.70, 10,683.09 and 2,191.68 is: 3,287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.70 : 10,683.09 = 2,191.68 : x
  2. Step 2: Convert to fraction form
    7,121.70/10,683.09 = 2,191.68/x
  3. Step 3: Cross multiply
    7,121.70x = 10,683.09 × 2,191.68
  4. Step 4: Simplify right side
    7,121.70x = 23,413,914.69
  5. Step 5: Solve for x
    x = 23,413,914.69/7,121.70
  6. Step 6: Final answer
    x = 3,287.69

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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.