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Finding the Fourth Proportional to 7,555.75, 10,427.00 and 4,198.77

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Solution

The fourth proportional to 7,555.75, 10,427.00 and 4,198.77 is: 5,794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,555.75 : 10,427.00 = 4,198.77 : x
  2. Step 2: Convert to fraction form
    7,555.75/10,427.00 = 4,198.77/x
  3. Step 3: Cross multiply
    7,555.75x = 10,427.00 × 4,198.77
  4. Step 4: Simplify right side
    7,555.75x = 43,780,553.80
  5. Step 5: Solve for x
    x = 43,780,553.80/7,555.75
  6. Step 6: Final answer
    x = 5,794.34

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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.