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Finding the Fourth Proportional to 11,826, 17,736.96 and 3,505.92

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Solution

The fourth proportional to 11,826, 17,736.96 and 3,505.92 is: 5,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826 : 17,736.96 = 3,505.92 : x
  2. Step 2: Convert to fraction form
    11,826/17,736.96 = 3,505.92/x
  3. Step 3: Cross multiply
    11,826x = 17,736.96 × 3,505.92
  4. Step 4: Simplify right side
    11,826x = 62,184,362.80
  5. Step 5: Solve for x
    x = 62,184,362.80/11,826
  6. Step 6: Final answer
    x = 5,258.28

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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.