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Finding the Fourth Proportional to 11,660.25, 16,095.33 and 6,944.43

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Solution

The fourth proportional to 11,660.25, 16,095.33 and 6,944.43 is: 9,585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.25 : 16,095.33 = 6,944.43 : x
  2. Step 2: Convert to fraction form
    11,660.25/16,095.33 = 6,944.43/x
  3. Step 3: Cross multiply
    11,660.25x = 16,095.33 × 6,944.43
  4. Step 4: Simplify right side
    11,660.25x = 111,772,892.51
  5. Step 5: Solve for x
    x = 111,772,892.51/11,660.25
  6. Step 6: Final answer
    x = 9,585.81

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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.