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Finding the Fourth Proportional to 8,462.21, 12,696.32 and 3,781.79

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Solution

The fourth proportional to 8,462.21, 12,696.32 and 3,781.79 is: 5,674.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.21 : 12,696.32 = 3,781.79 : x
  2. Step 2: Convert to fraction form
    8,462.21/12,696.32 = 3,781.79/x
  3. Step 3: Cross multiply
    8,462.21x = 12,696.32 × 3,781.79
  4. Step 4: Simplify right side
    8,462.21x = 48,014,816.01
  5. Step 5: Solve for x
    x = 48,014,816.01/8,462.21
  6. Step 6: Final answer
    x = 5,674.03

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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.