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Finding the Fourth Proportional to 6,411.66, 8,846.12 and 3,757.20

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Solution

The fourth proportional to 6,411.66, 8,846.12 and 3,757.20 is: 5,183.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.66 : 8,846.12 = 3,757.20 : x
  2. Step 2: Convert to fraction form
    6,411.66/8,846.12 = 3,757.20/x
  3. Step 3: Cross multiply
    6,411.66x = 8,846.12 × 3,757.20
  4. Step 4: Simplify right side
    6,411.66x = 33,236,623.28
  5. Step 5: Solve for x
    x = 33,236,623.28/6,411.66
  6. Step 6: Final answer
    x = 5,183.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.