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Finding the Fourth Proportional to 7,647.65, 10,553.59 and 4,198.19

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Solution

The fourth proportional to 7,647.65, 10,553.59 and 4,198.19 is: 5,793.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.65 : 10,553.59 = 4,198.19 : x
  2. Step 2: Convert to fraction form
    7,647.65/10,553.59 = 4,198.19/x
  3. Step 3: Cross multiply
    7,647.65x = 10,553.59 × 4,198.19
  4. Step 4: Simplify right side
    7,647.65x = 44,305,928.48
  5. Step 5: Solve for x
    x = 44,305,928.48/7,647.65
  6. Step 6: Final answer
    x = 5,793.41

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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.