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Finding the Fourth Proportional to 7,467.70, 11,201.55 and 3,083.70

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Solution

The fourth proportional to 7,467.70, 11,201.55 and 3,083.70 is: 4,625.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.70 : 11,201.55 = 3,083.70 : x
  2. Step 2: Convert to fraction form
    7,467.70/11,201.55 = 3,083.70/x
  3. Step 3: Cross multiply
    7,467.70x = 11,201.55 × 3,083.70
  4. Step 4: Simplify right side
    7,467.70x = 34,542,219.74
  5. Step 5: Solve for x
    x = 34,542,219.74/7,467.70
  6. Step 6: Final answer
    x = 4,625.55

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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.