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Finding the Fourth Proportional to 11,574.27, 17,361.44 and 2,809.17

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Solution

The fourth proportional to 11,574.27, 17,361.44 and 2,809.17 is: 4,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.27 : 17,361.44 = 2,809.17 : x
  2. Step 2: Convert to fraction form
    11,574.27/17,361.44 = 2,809.17/x
  3. Step 3: Cross multiply
    11,574.27x = 17,361.44 × 2,809.17
  4. Step 4: Simplify right side
    11,574.27x = 48,771,222.36
  5. Step 5: Solve for x
    x = 48,771,222.36/11,574.27
  6. Step 6: Final answer
    x = 4,213.76

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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.