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Finding the Fourth Proportional to 8,381.16, 12,571.74 and 3,190.68

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Solution

The fourth proportional to 8,381.16, 12,571.74 and 3,190.68 is: 4,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.16 : 12,571.74 = 3,190.68 : x
  2. Step 2: Convert to fraction form
    8,381.16/12,571.74 = 3,190.68/x
  3. Step 3: Cross multiply
    8,381.16x = 12,571.74 × 3,190.68
  4. Step 4: Simplify right side
    8,381.16x = 40,112,399.38
  5. Step 5: Solve for x
    x = 40,112,399.38/8,381.16
  6. Step 6: Final answer
    x = 4,786.02

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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.