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Finding the Fourth Proportional to 7,072.38, 10,602.06 and 2,452.14

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Solution

The fourth proportional to 7,072.38, 10,602.06 and 2,452.14 is: 3,675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.38 : 10,602.06 = 2,452.14 : x
  2. Step 2: Convert to fraction form
    7,072.38/10,602.06 = 2,452.14/x
  3. Step 3: Cross multiply
    7,072.38x = 10,602.06 × 2,452.14
  4. Step 4: Simplify right side
    7,072.38x = 25,997,735.41
  5. Step 5: Solve for x
    x = 25,997,735.41/7,072.38
  6. Step 6: Final answer
    x = 3,675.95

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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.