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Finding the Fourth Proportional to 7,555.98, 10,427.57 and 4,198.77

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Solution

The fourth proportional to 7,555.98, 10,427.57 and 4,198.77 is: 5,794.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,555.98 : 10,427.57 = 4,198.77 : x
  2. Step 2: Convert to fraction form
    7,555.98/10,427.57 = 4,198.77/x
  3. Step 3: Cross multiply
    7,555.98x = 10,427.57 × 4,198.77
  4. Step 4: Simplify right side
    7,555.98x = 43,782,968.09
  5. Step 5: Solve for x
    x = 43,782,968.09/7,555.98
  6. Step 6: Final answer
    x = 5,794.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.