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Finding the Fourth Proportional to 8,461.46, 12,694.79 and 3,785.41

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Solution

The fourth proportional to 8,461.46, 12,694.79 and 3,785.41 is: 5,679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.46 : 12,694.79 = 3,785.41 : x
  2. Step 2: Convert to fraction form
    8,461.46/12,694.79 = 3,785.41/x
  3. Step 3: Cross multiply
    8,461.46x = 12,694.79 × 3,785.41
  4. Step 4: Simplify right side
    8,461.46x = 48,054,985.01
  5. Step 5: Solve for x
    x = 48,054,985.01/8,461.46
  6. Step 6: Final answer
    x = 5,679.28

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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.