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Finding the Fourth Proportional to 7,673.67, 11,508.03 and 3,289.95

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Solution

The fourth proportional to 7,673.67, 11,508.03 and 3,289.95 is: 4,933.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.67 : 11,508.03 = 3,289.95 : x
  2. Step 2: Convert to fraction form
    7,673.67/11,508.03 = 3,289.95/x
  3. Step 3: Cross multiply
    7,673.67x = 11,508.03 × 3,289.95
  4. Step 4: Simplify right side
    7,673.67x = 37,860,843.30
  5. Step 5: Solve for x
    x = 37,860,843.30/7,673.67
  6. Step 6: Final answer
    x = 4,933.86

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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.