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Finding the Fourth Proportional to 7,448.40, 11,172.24 and 2,768.40

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Solution

The fourth proportional to 7,448.40, 11,172.24 and 2,768.40 is: 4,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.40 : 11,172.24 = 2,768.40 : x
  2. Step 2: Convert to fraction form
    7,448.40/11,172.24 = 2,768.40/x
  3. Step 3: Cross multiply
    7,448.40x = 11,172.24 × 2,768.40
  4. Step 4: Simplify right side
    7,448.40x = 30,929,229.22
  5. Step 5: Solve for x
    x = 30,929,229.22/7,448.40
  6. Step 6: Final answer
    x = 4,152.47

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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.