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Finding the Fourth Proportional to 10,270.73, 15,408.53 and 5,339.25

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Solution

The fourth proportional to 10,270.73, 15,408.53 and 5,339.25 is: 8,010.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.73 : 15,408.53 = 5,339.25 : x
  2. Step 2: Convert to fraction form
    10,270.73/15,408.53 = 5,339.25/x
  3. Step 3: Cross multiply
    10,270.73x = 15,408.53 × 5,339.25
  4. Step 4: Simplify right side
    10,270.73x = 82,269,993.80
  5. Step 5: Solve for x
    x = 82,269,993.80/10,270.73
  6. Step 6: Final answer
    x = 8,010.14

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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.