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Finding the Fourth Proportional to 11,640.11, 16,054.34 and 7,857.28

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Solution

The fourth proportional to 11,640.11, 16,054.34 and 7,857.28 is: 10,836.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.11 : 16,054.34 = 7,857.28 : x
  2. Step 2: Convert to fraction form
    11,640.11/16,054.34 = 7,857.28/x
  3. Step 3: Cross multiply
    11,640.11x = 16,054.34 × 7,857.28
  4. Step 4: Simplify right side
    11,640.11x = 126,143,536.83
  5. Step 5: Solve for x
    x = 126,143,536.83/11,640.11
  6. Step 6: Final answer
    x = 10,836.97

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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.