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Finding the Fourth Proportional to 8,149.54, 12,222.35 and 3,762.78

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Solution

The fourth proportional to 8,149.54, 12,222.35 and 3,762.78 is: 5,643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.54 : 12,222.35 = 3,762.78 : x
  2. Step 2: Convert to fraction form
    8,149.54/12,222.35 = 3,762.78/x
  3. Step 3: Cross multiply
    8,149.54x = 12,222.35 × 3,762.78
  4. Step 4: Simplify right side
    8,149.54x = 45,990,014.13
  5. Step 5: Solve for x
    x = 45,990,014.13/8,149.54
  6. Step 6: Final answer
    x = 5,643.27

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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.