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Finding the Fourth Proportional to 8,671, 11,966 and 4,945

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Solution

The fourth proportional to 8,671, 11,966 and 4,945 is: 6,824.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671 : 11,966 = 4,945 : x
  2. Step 2: Convert to fraction form
    8,671/11,966 = 4,945/x
  3. Step 3: Cross multiply
    8,671x = 11,966 × 4,945
  4. Step 4: Simplify right side
    8,671x = 59,171,870
  5. Step 5: Solve for x
    x = 59,171,870/8,671
  6. Step 6: Final answer
    x = 6,824.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.