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Finding the Fourth Proportional to 11,806.36, 17,696.94 and 6,256.24

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Solution

The fourth proportional to 11,806.36, 17,696.94 and 6,256.24 is: 9,377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.36 : 17,696.94 = 6,256.24 : x
  2. Step 2: Convert to fraction form
    11,806.36/17,696.94 = 6,256.24/x
  3. Step 3: Cross multiply
    11,806.36x = 17,696.94 × 6,256.24
  4. Step 4: Simplify right side
    11,806.36x = 110,716,303.91
  5. Step 5: Solve for x
    x = 110,716,303.91/11,806.36
  6. Step 6: Final answer
    x = 9,377.68

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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.