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Finding the Fourth Proportional to 11,872.17, 17,809.46 and 3,107.16

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Solution

The fourth proportional to 11,872.17, 17,809.46 and 3,107.16 is: 4,661.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.17 : 17,809.46 = 3,107.16 : x
  2. Step 2: Convert to fraction form
    11,872.17/17,809.46 = 3,107.16/x
  3. Step 3: Cross multiply
    11,872.17x = 17,809.46 × 3,107.16
  4. Step 4: Simplify right side
    11,872.17x = 55,336,841.73
  5. Step 5: Solve for x
    x = 55,336,841.73/11,872.17
  6. Step 6: Final answer
    x = 4,661.06

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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.