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Finding the Fourth Proportional to 7,735.89, 10,675.23 and 4,199.03

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Solution

The fourth proportional to 7,735.89, 10,675.23 and 4,199.03 is: 5,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.89 : 10,675.23 = 4,199.03 : x
  2. Step 2: Convert to fraction form
    7,735.89/10,675.23 = 4,199.03/x
  3. Step 3: Cross multiply
    7,735.89x = 10,675.23 × 4,199.03
  4. Step 4: Simplify right side
    7,735.89x = 44,825,557.65
  5. Step 5: Solve for x
    x = 44,825,557.65/7,735.89
  6. Step 6: Final answer
    x = 5,794.49

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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.