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Finding the Fourth Proportional to 7,583.98, 11,377.50 and 3,201.44

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Solution

The fourth proportional to 7,583.98, 11,377.50 and 3,201.44 is: 4,802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.98 : 11,377.50 = 3,201.44 : x
  2. Step 2: Convert to fraction form
    7,583.98/11,377.50 = 3,201.44/x
  3. Step 3: Cross multiply
    7,583.98x = 11,377.50 × 3,201.44
  4. Step 4: Simplify right side
    7,583.98x = 36,424,383.60
  5. Step 5: Solve for x
    x = 36,424,383.60/7,583.98
  6. Step 6: Final answer
    x = 4,802.81

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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.