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Finding the Fourth Proportional to 11,574.28, 17,361.39 and 4,178.74

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Solution

The fourth proportional to 11,574.28, 17,361.39 and 4,178.74 is: 6,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.28 : 17,361.39 = 4,178.74 : x
  2. Step 2: Convert to fraction form
    11,574.28/17,361.39 = 4,178.74/x
  3. Step 3: Cross multiply
    11,574.28x = 17,361.39 × 4,178.74
  4. Step 4: Simplify right side
    11,574.28x = 72,548,691.45
  5. Step 5: Solve for x
    x = 72,548,691.45/11,574.28
  6. Step 6: Final answer
    x = 6,268.10

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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.