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Finding the Fourth Proportional to 7,072.74, 10,609.29 and 2,142.36

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Solution

The fourth proportional to 7,072.74, 10,609.29 and 2,142.36 is: 3,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.74 : 10,609.29 = 2,142.36 : x
  2. Step 2: Convert to fraction form
    7,072.74/10,609.29 = 2,142.36/x
  3. Step 3: Cross multiply
    7,072.74x = 10,609.29 × 2,142.36
  4. Step 4: Simplify right side
    7,072.74x = 22,728,918.52
  5. Step 5: Solve for x
    x = 22,728,918.52/7,072.74
  6. Step 6: Final answer
    x = 3,213.59

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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.