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Finding the Fourth Proportional to 11,971.55, 16,520.76 and 6,667.41

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Solution

The fourth proportional to 11,971.55, 16,520.76 and 6,667.41 is: 9,201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.55 : 16,520.76 = 6,667.41 : x
  2. Step 2: Convert to fraction form
    11,971.55/16,520.76 = 6,667.41/x
  3. Step 3: Cross multiply
    11,971.55x = 16,520.76 × 6,667.41
  4. Step 4: Simplify right side
    11,971.55x = 110,150,742.38
  5. Step 5: Solve for x
    x = 110,150,742.38/11,971.55
  6. Step 6: Final answer
    x = 9,201.04

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Why These Related Problems?

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