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Finding the Fourth Proportional to 7,694.80, 11,546.64 and 3,252.10

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Solution

The fourth proportional to 7,694.80, 11,546.64 and 3,252.10 is: 4,880.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.80 : 11,546.64 = 3,252.10 : x
  2. Step 2: Convert to fraction form
    7,694.80/11,546.64 = 3,252.10/x
  3. Step 3: Cross multiply
    7,694.80x = 11,546.64 × 3,252.10
  4. Step 4: Simplify right side
    7,694.80x = 37,550,827.94
  5. Step 5: Solve for x
    x = 37,550,827.94/7,694.80
  6. Step 6: Final answer
    x = 4,880.03

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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.