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Finding the Fourth Proportional to 11,995.50, 16,553.76 and 6,690

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Solution

The fourth proportional to 11,995.50, 16,553.76 and 6,690 is: 9,232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,995.50 : 16,553.76 = 6,690 : x
  2. Step 2: Convert to fraction form
    11,995.50/16,553.76 = 6,690/x
  3. Step 3: Cross multiply
    11,995.50x = 16,553.76 × 6,690
  4. Step 4: Simplify right side
    11,995.50x = 110,744,654.40
  5. Step 5: Solve for x
    x = 110,744,654.40/11,995.50
  6. Step 6: Final answer
    x = 9,232.18

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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.