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Finding the Fourth Proportional to 7,271.67, 10,906.34 and 2,076.33

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Solution

The fourth proportional to 7,271.67, 10,906.34 and 2,076.33 is: 3,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.67 : 10,906.34 = 2,076.33 : x
  2. Step 2: Convert to fraction form
    7,271.67/10,906.34 = 2,076.33/x
  3. Step 3: Cross multiply
    7,271.67x = 10,906.34 × 2,076.33
  4. Step 4: Simplify right side
    7,271.67x = 22,645,150.55
  5. Step 5: Solve for x
    x = 22,645,150.55/7,271.67
  6. Step 6: Final answer
    x = 3,114.16

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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.