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Finding the Fourth Proportional to 7,896.83, 11,841.80 and 4,198.17

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Solution

The fourth proportional to 7,896.83, 11,841.80 and 4,198.17 is: 6,295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.83 : 11,841.80 = 4,198.17 : x
  2. Step 2: Convert to fraction form
    7,896.83/11,841.80 = 4,198.17/x
  3. Step 3: Cross multiply
    7,896.83x = 11,841.80 × 4,198.17
  4. Step 4: Simplify right side
    7,896.83x = 49,713,889.51
  5. Step 5: Solve for x
    x = 49,713,889.51/7,896.83
  6. Step 6: Final answer
    x = 6,295.42

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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.