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Finding the Fourth Proportional to 10,067.94, 13,906.83 and 7,663.30

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Solution

The fourth proportional to 10,067.94, 13,906.83 and 7,663.30 is: 10,585.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.94 : 13,906.83 = 7,663.30 : x
  2. Step 2: Convert to fraction form
    10,067.94/13,906.83 = 7,663.30/x
  3. Step 3: Cross multiply
    10,067.94x = 13,906.83 × 7,663.30
  4. Step 4: Simplify right side
    10,067.94x = 106,572,210.34
  5. Step 5: Solve for x
    x = 106,572,210.34/10,067.94
  6. Step 6: Final answer
    x = 10,585.30

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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.