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Finding the Fourth Proportional to 11,766.45, 17,649.69 and 3,980.73

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Solution

The fourth proportional to 11,766.45, 17,649.69 and 3,980.73 is: 5,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.45 : 17,649.69 = 3,980.73 : x
  2. Step 2: Convert to fraction form
    11,766.45/17,649.69 = 3,980.73/x
  3. Step 3: Cross multiply
    11,766.45x = 17,649.69 × 3,980.73
  4. Step 4: Simplify right side
    11,766.45x = 70,258,650.47
  5. Step 5: Solve for x
    x = 70,258,650.47/11,766.45
  6. Step 6: Final answer
    x = 5,971.10

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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.