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Finding the Fourth Proportional to 7,735.88, 10,675.52 and 4,199.09

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Solution

The fourth proportional to 7,735.88, 10,675.52 and 4,199.09 is: 5,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.88 : 10,675.52 = 4,199.09 : x
  2. Step 2: Convert to fraction form
    7,735.88/10,675.52 = 4,199.09/x
  3. Step 3: Cross multiply
    7,735.88x = 10,675.52 × 4,199.09
  4. Step 4: Simplify right side
    7,735.88x = 44,827,469.28
  5. Step 5: Solve for x
    x = 44,827,469.28/7,735.88
  6. Step 6: Final answer
    x = 5,794.75

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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.