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Finding the Fourth Proportional to 8,351.74, 11,511.40 and 6,667.75

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Solution

The fourth proportional to 8,351.74, 11,511.40 and 6,667.75 is: 9,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351.74 : 11,511.40 = 6,667.75 : x
  2. Step 2: Convert to fraction form
    8,351.74/11,511.40 = 6,667.75/x
  3. Step 3: Cross multiply
    8,351.74x = 11,511.40 × 6,667.75
  4. Step 4: Simplify right side
    8,351.74x = 76,755,046.45
  5. Step 5: Solve for x
    x = 76,755,046.45/8,351.74
  6. Step 6: Final answer
    x = 9,190.31

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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.