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Finding the Fourth Proportional to 11,727.28, 17,578.74 and 7,334.64

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Solution

The fourth proportional to 11,727.28, 17,578.74 and 7,334.64 is: 10,994.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,727.28 : 17,578.74 = 7,334.64 : x
  2. Step 2: Convert to fraction form
    11,727.28/17,578.74 = 7,334.64/x
  3. Step 3: Cross multiply
    11,727.28x = 17,578.74 × 7,334.64
  4. Step 4: Simplify right side
    11,727.28x = 128,933,729.55
  5. Step 5: Solve for x
    x = 128,933,729.55/11,727.28
  6. Step 6: Final answer
    x = 10,994.34

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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.