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Finding the Fourth Proportional to 7,694.08, 11,532.08 and 4,409.44

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Solution

The fourth proportional to 7,694.08, 11,532.08 and 4,409.44 is: 6,608.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.08 : 11,532.08 = 4,409.44 : x
  2. Step 2: Convert to fraction form
    7,694.08/11,532.08 = 4,409.44/x
  3. Step 3: Cross multiply
    7,694.08x = 11,532.08 × 4,409.44
  4. Step 4: Simplify right side
    7,694.08x = 50,850,014.84
  5. Step 5: Solve for x
    x = 50,850,014.84/7,694.08
  6. Step 6: Final answer
    x = 6,608.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.