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Finding the Fourth Proportional to 11,971.50, 16,520.67 and 7,003.50

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Solution

The fourth proportional to 11,971.50, 16,520.67 and 7,003.50 is: 9,664.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.50 : 16,520.67 = 7,003.50 : x
  2. Step 2: Convert to fraction form
    11,971.50/16,520.67 = 7,003.50/x
  3. Step 3: Cross multiply
    11,971.50x = 16,520.67 × 7,003.50
  4. Step 4: Simplify right side
    11,971.50x = 115,702,512.35
  5. Step 5: Solve for x
    x = 115,702,512.35/11,971.50
  6. Step 6: Final answer
    x = 9,664.83

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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.