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Finding the Fourth Proportional to 7,144.68, 10,713.09 and 2,212.95

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Solution

The fourth proportional to 7,144.68, 10,713.09 and 2,212.95 is: 3,318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.68 : 10,713.09 = 2,212.95 : x
  2. Step 2: Convert to fraction form
    7,144.68/10,713.09 = 2,212.95/x
  3. Step 3: Cross multiply
    7,144.68x = 10,713.09 × 2,212.95
  4. Step 4: Simplify right side
    7,144.68x = 23,707,532.52
  5. Step 5: Solve for x
    x = 23,707,532.52/7,144.68
  6. Step 6: Final answer
    x = 3,318.21

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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.