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Finding the Fourth Proportional to 7,231.44, 10,834.20 and 6,726

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Solution

The fourth proportional to 7,231.44, 10,834.20 and 6,726 is: 10,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.44 : 10,834.20 = 6,726 : x
  2. Step 2: Convert to fraction form
    7,231.44/10,834.20 = 6,726/x
  3. Step 3: Cross multiply
    7,231.44x = 10,834.20 × 6,726
  4. Step 4: Simplify right side
    7,231.44x = 72,870,829.20
  5. Step 5: Solve for x
    x = 72,870,829.20/7,231.44
  6. Step 6: Final answer
    x = 10,076.95

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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.