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Finding the Fourth Proportional to 6,616.24, 9,910.86 and 3,696.10

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Solution

The fourth proportional to 6,616.24, 9,910.86 and 3,696.10 is: 5,536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.24 : 9,910.86 = 3,696.10 : x
  2. Step 2: Convert to fraction form
    6,616.24/9,910.86 = 3,696.10/x
  3. Step 3: Cross multiply
    6,616.24x = 9,910.86 × 3,696.10
  4. Step 4: Simplify right side
    6,616.24x = 36,631,529.65
  5. Step 5: Solve for x
    x = 36,631,529.65/6,616.24
  6. Step 6: Final answer
    x = 5,536.61

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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.