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Finding the Fourth Proportional to 11,770, 17,648.88 and 3,976

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Solution

The fourth proportional to 11,770, 17,648.88 and 3,976 is: 5,961.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770 : 17,648.88 = 3,976 : x
  2. Step 2: Convert to fraction form
    11,770/17,648.88 = 3,976/x
  3. Step 3: Cross multiply
    11,770x = 17,648.88 × 3,976
  4. Step 4: Simplify right side
    11,770x = 70,171,946.88
  5. Step 5: Solve for x
    x = 70,171,946.88/11,770
  6. Step 6: Final answer
    x = 5,961.93

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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.