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Finding the Fourth Proportional to 11,675, 16,105.94 and 7,899.48

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Solution

The fourth proportional to 11,675, 16,105.94 and 7,899.48 is: 10,897.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675 : 16,105.94 = 7,899.48 : x
  2. Step 2: Convert to fraction form
    11,675/16,105.94 = 7,899.48/x
  3. Step 3: Cross multiply
    11,675x = 16,105.94 × 7,899.48
  4. Step 4: Simplify right side
    11,675x = 127,228,550.91
  5. Step 5: Solve for x
    x = 127,228,550.91/11,675
  6. Step 6: Final answer
    x = 10,897.52

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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.