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Finding the Fourth Proportional to 11,972.92, 16,522.74 and 6,667.84

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Solution

The fourth proportional to 11,972.92, 16,522.74 and 6,667.84 is: 9,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.92 : 16,522.74 = 6,667.84 : x
  2. Step 2: Convert to fraction form
    11,972.92/16,522.74 = 6,667.84/x
  3. Step 3: Cross multiply
    11,972.92x = 16,522.74 × 6,667.84
  4. Step 4: Simplify right side
    11,972.92x = 110,170,986.68
  5. Step 5: Solve for x
    x = 110,170,986.68/11,972.92
  6. Step 6: Final answer
    x = 9,201.68

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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.