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Finding the Fourth Proportional to 11,574.43, 17,361.65 and 2,809.28

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Solution

The fourth proportional to 11,574.43, 17,361.65 and 2,809.28 is: 4,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.43 : 17,361.65 = 2,809.28 : x
  2. Step 2: Convert to fraction form
    11,574.43/17,361.65 = 2,809.28/x
  3. Step 3: Cross multiply
    11,574.43x = 17,361.65 × 2,809.28
  4. Step 4: Simplify right side
    11,574.43x = 48,773,786.54
  5. Step 5: Solve for x
    x = 48,773,786.54/11,574.43
  6. Step 6: Final answer
    x = 4,213.93

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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.