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Finding the Fourth Proportional to 7,217.06, 10,825.60 and 1,745.06

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Solution

The fourth proportional to 7,217.06, 10,825.60 and 1,745.06 is: 2,617.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217.06 : 10,825.60 = 1,745.06 : x
  2. Step 2: Convert to fraction form
    7,217.06/10,825.60 = 1,745.06/x
  3. Step 3: Cross multiply
    7,217.06x = 10,825.60 × 1,745.06
  4. Step 4: Simplify right side
    7,217.06x = 18,891,321.54
  5. Step 5: Solve for x
    x = 18,891,321.54/7,217.06
  6. Step 6: Final answer
    x = 2,617.59

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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.