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Finding the Fourth Proportional to 11,633.40, 17,447.46 and 3,313.23

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Solution

The fourth proportional to 11,633.40, 17,447.46 and 3,313.23 is: 4,969.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.40 : 17,447.46 = 3,313.23 : x
  2. Step 2: Convert to fraction form
    11,633.40/17,447.46 = 3,313.23/x
  3. Step 3: Cross multiply
    11,633.40x = 17,447.46 × 3,313.23
  4. Step 4: Simplify right side
    11,633.40x = 57,807,447.90
  5. Step 5: Solve for x
    x = 57,807,447.90/11,633.40
  6. Step 6: Final answer
    x = 4,969.09

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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.