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Finding the Fourth Proportional to 7,696.32, 11,544 and 2,224.32

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Solution

The fourth proportional to 7,696.32, 11,544 and 2,224.32 is: 3,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.32 : 11,544 = 2,224.32 : x
  2. Step 2: Convert to fraction form
    7,696.32/11,544 = 2,224.32/x
  3. Step 3: Cross multiply
    7,696.32x = 11,544 × 2,224.32
  4. Step 4: Simplify right side
    7,696.32x = 25,677,550.08
  5. Step 5: Solve for x
    x = 25,677,550.08/7,696.32
  6. Step 6: Final answer
    x = 3,336.34

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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.