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Finding the Fourth Proportional to 7,694.10, 11,546.82 and 3,314.84

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Solution

The fourth proportional to 7,694.10, 11,546.82 and 3,314.84 is: 4,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.10 : 11,546.82 = 3,314.84 : x
  2. Step 2: Convert to fraction form
    7,694.10/11,546.82 = 3,314.84/x
  3. Step 3: Cross multiply
    7,694.10x = 11,546.82 × 3,314.84
  4. Step 4: Simplify right side
    7,694.10x = 38,275,803.07
  5. Step 5: Solve for x
    x = 38,275,803.07/7,694.10
  6. Step 6: Final answer
    x = 4,974.70

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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.