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Finding the Fourth Proportional to 7,474.66, 11,212 and 1,928.02

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Solution

The fourth proportional to 7,474.66, 11,212 and 1,928.02 is: 2,892.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.66 : 11,212 = 1,928.02 : x
  2. Step 2: Convert to fraction form
    7,474.66/11,212 = 1,928.02/x
  3. Step 3: Cross multiply
    7,474.66x = 11,212 × 1,928.02
  4. Step 4: Simplify right side
    7,474.66x = 21,616,960.24
  5. Step 5: Solve for x
    x = 21,616,960.24/7,474.66
  6. Step 6: Final answer
    x = 2,892.03

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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.