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Finding the Fourth Proportional to 7,735.45, 10,674.92 and 4,198.65

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Solution

The fourth proportional to 7,735.45, 10,674.92 and 4,198.65 is: 5,794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.45 : 10,674.92 = 4,198.65 : x
  2. Step 2: Convert to fraction form
    7,735.45/10,674.92 = 4,198.65/x
  3. Step 3: Cross multiply
    7,735.45x = 10,674.92 × 4,198.65
  4. Step 4: Simplify right side
    7,735.45x = 44,820,283.37
  5. Step 5: Solve for x
    x = 44,820,283.37/7,735.45
  6. Step 6: Final answer
    x = 5,794.14

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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.