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Finding the Fourth Proportional to 11,596.31, 17,395.83 and 3,696.08

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Solution

The fourth proportional to 11,596.31, 17,395.83 and 3,696.08 is: 5,544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.31 : 17,395.83 = 3,696.08 : x
  2. Step 2: Convert to fraction form
    11,596.31/17,395.83 = 3,696.08/x
  3. Step 3: Cross multiply
    11,596.31x = 17,395.83 × 3,696.08
  4. Step 4: Simplify right side
    11,596.31x = 64,296,292.37
  5. Step 5: Solve for x
    x = 64,296,292.37/11,596.31
  6. Step 6: Final answer
    x = 5,544.55

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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.