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Finding the Fourth Proportional to 11,617.75, 17,427.49 and 3,298.44

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Solution

The fourth proportional to 11,617.75, 17,427.49 and 3,298.44 is: 4,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.75 : 17,427.49 = 3,298.44 : x
  2. Step 2: Convert to fraction form
    11,617.75/17,427.49 = 3,298.44/x
  3. Step 3: Cross multiply
    11,617.75x = 17,427.49 × 3,298.44
  4. Step 4: Simplify right side
    11,617.75x = 57,483,519.00
  5. Step 5: Solve for x
    x = 57,483,519.00/11,617.75
  6. Step 6: Final answer
    x = 4,947.90

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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.