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Finding the Fourth Proportional to 11,813.49, 17,719.83 and 6,873.30

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Solution

The fourth proportional to 11,813.49, 17,719.83 and 6,873.30 is: 10,309.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.49 : 17,719.83 = 6,873.30 : x
  2. Step 2: Convert to fraction form
    11,813.49/17,719.83 = 6,873.30/x
  3. Step 3: Cross multiply
    11,813.49x = 17,719.83 × 6,873.30
  4. Step 4: Simplify right side
    11,813.49x = 121,793,707.54
  5. Step 5: Solve for x
    x = 121,793,707.54/11,813.49
  6. Step 6: Final answer
    x = 10,309.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.