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Finding the Fourth Proportional to 8,114.99, 12,173.09 and 2,271.38

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Solution

The fourth proportional to 8,114.99, 12,173.09 and 2,271.38 is: 3,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.99 : 12,173.09 = 2,271.38 : x
  2. Step 2: Convert to fraction form
    8,114.99/12,173.09 = 2,271.38/x
  3. Step 3: Cross multiply
    8,114.99x = 12,173.09 × 2,271.38
  4. Step 4: Simplify right side
    8,114.99x = 27,649,640.94
  5. Step 5: Solve for x
    x = 27,649,640.94/8,114.99
  6. Step 6: Final answer
    x = 3,407.23

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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.