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Finding the Fourth Proportional to 11,640.69, 16,067.03 and 7,446.51

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Solution

The fourth proportional to 11,640.69, 16,067.03 and 7,446.51 is: 10,278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.69 : 16,067.03 = 7,446.51 : x
  2. Step 2: Convert to fraction form
    11,640.69/16,067.03 = 7,446.51/x
  3. Step 3: Cross multiply
    11,640.69x = 16,067.03 × 7,446.51
  4. Step 4: Simplify right side
    11,640.69x = 119,643,262.33
  5. Step 5: Solve for x
    x = 119,643,262.33/11,640.69
  6. Step 6: Final answer
    x = 10,278.02

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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.