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Finding the Fourth Proportional to 7,696.63, 11,552.24 and 3,803.77

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Solution

The fourth proportional to 7,696.63, 11,552.24 and 3,803.77 is: 5,709.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.63 : 11,552.24 = 3,803.77 : x
  2. Step 2: Convert to fraction form
    7,696.63/11,552.24 = 3,803.77/x
  3. Step 3: Cross multiply
    7,696.63x = 11,552.24 × 3,803.77
  4. Step 4: Simplify right side
    7,696.63x = 43,942,063.94
  5. Step 5: Solve for x
    x = 43,942,063.94/7,696.63
  6. Step 6: Final answer
    x = 5,709.26

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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.