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Finding the Fourth Proportional to 8,735.95, 13,099.83 and 3,185.38

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Solution

The fourth proportional to 8,735.95, 13,099.83 and 3,185.38 is: 4,776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.95 : 13,099.83 = 3,185.38 : x
  2. Step 2: Convert to fraction form
    8,735.95/13,099.83 = 3,185.38/x
  3. Step 3: Cross multiply
    8,735.95x = 13,099.83 × 3,185.38
  4. Step 4: Simplify right side
    8,735.95x = 41,727,936.49
  5. Step 5: Solve for x
    x = 41,727,936.49/8,735.95
  6. Step 6: Final answer
    x = 4,776.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.