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Finding the Fourth Proportional to 10,905.30, 16,366.24 and 7,991.22

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Solution

The fourth proportional to 10,905.30, 16,366.24 and 7,991.22 is: 11,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905.30 : 16,366.24 = 7,991.22 : x
  2. Step 2: Convert to fraction form
    10,905.30/16,366.24 = 7,991.22/x
  3. Step 3: Cross multiply
    10,905.30x = 16,366.24 × 7,991.22
  4. Step 4: Simplify right side
    10,905.30x = 130,786,224.41
  5. Step 5: Solve for x
    x = 130,786,224.41/10,905.30
  6. Step 6: Final answer
    x = 11,992.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.