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Finding the Fourth Proportional to 7,815.36, 11,727.36 and 3,198

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Solution

The fourth proportional to 7,815.36, 11,727.36 and 3,198 is: 4,798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.36 : 11,727.36 = 3,198 : x
  2. Step 2: Convert to fraction form
    7,815.36/11,727.36 = 3,198/x
  3. Step 3: Cross multiply
    7,815.36x = 11,727.36 × 3,198
  4. Step 4: Simplify right side
    7,815.36x = 37,504,097.28
  5. Step 5: Solve for x
    x = 37,504,097.28/7,815.36
  6. Step 6: Final answer
    x = 4,798.77

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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.