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Finding the Fourth Proportional to 10,759.23, 16,105.03 and 6,796.74

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Solution

The fourth proportional to 10,759.23, 16,105.03 and 6,796.74 is: 10,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.23 : 16,105.03 = 6,796.74 : x
  2. Step 2: Convert to fraction form
    10,759.23/16,105.03 = 6,796.74/x
  3. Step 3: Cross multiply
    10,759.23x = 16,105.03 × 6,796.74
  4. Step 4: Simplify right side
    10,759.23x = 109,461,745.00
  5. Step 5: Solve for x
    x = 109,461,745.00/10,759.23
  6. Step 6: Final answer
    x = 10,173.75

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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.