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Finding the Fourth Proportional to 8,114.86, 12,172.32 and 2,271.52

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Solution

The fourth proportional to 8,114.86, 12,172.32 and 2,271.52 is: 3,407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.86 : 12,172.32 = 2,271.52 : x
  2. Step 2: Convert to fraction form
    8,114.86/12,172.32 = 2,271.52/x
  3. Step 3: Cross multiply
    8,114.86x = 12,172.32 × 2,271.52
  4. Step 4: Simplify right side
    8,114.86x = 27,649,668.33
  5. Step 5: Solve for x
    x = 27,649,668.33/8,114.86
  6. Step 6: Final answer
    x = 3,407.29

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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.