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Finding the Fourth Proportional to 8,461.40, 12,694.69 and 3,785.34

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Solution

The fourth proportional to 8,461.40, 12,694.69 and 3,785.34 is: 5,679.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.40 : 12,694.69 = 3,785.34 : x
  2. Step 2: Convert to fraction form
    8,461.40/12,694.69 = 3,785.34/x
  3. Step 3: Cross multiply
    8,461.40x = 12,694.69 × 3,785.34
  4. Step 4: Simplify right side
    8,461.40x = 48,053,754.31
  5. Step 5: Solve for x
    x = 48,053,754.31/8,461.40
  6. Step 6: Final answer
    x = 5,679.17

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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.