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Finding the Fourth Proportional to 10,704.26, 16,035.61 and 7,887.98

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Solution

The fourth proportional to 10,704.26, 16,035.61 and 7,887.98 is: 11,816.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.26 : 16,035.61 = 7,887.98 : x
  2. Step 2: Convert to fraction form
    10,704.26/16,035.61 = 7,887.98/x
  3. Step 3: Cross multiply
    10,704.26x = 16,035.61 × 7,887.98
  4. Step 4: Simplify right side
    10,704.26x = 126,488,570.97
  5. Step 5: Solve for x
    x = 126,488,570.97/10,704.26
  6. Step 6: Final answer
    x = 11,816.66

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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.