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Finding the Fourth Proportional to 8,125.42, 12,192.16 and 3,745.96

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Solution

The fourth proportional to 8,125.42, 12,192.16 and 3,745.96 is: 5,620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.42 : 12,192.16 = 3,745.96 : x
  2. Step 2: Convert to fraction form
    8,125.42/12,192.16 = 3,745.96/x
  3. Step 3: Cross multiply
    8,125.42x = 12,192.16 × 3,745.96
  4. Step 4: Simplify right side
    8,125.42x = 45,671,343.67
  5. Step 5: Solve for x
    x = 45,671,343.67/8,125.42
  6. Step 6: Final answer
    x = 5,620.80

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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.