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Finding the Fourth Proportional to 7,466.88, 11,200.94 and 2,272.80

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Solution

The fourth proportional to 7,466.88, 11,200.94 and 2,272.80 is: 3,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.88 : 11,200.94 = 2,272.80 : x
  2. Step 2: Convert to fraction form
    7,466.88/11,200.94 = 2,272.80/x
  3. Step 3: Cross multiply
    7,466.88x = 11,200.94 × 2,272.80
  4. Step 4: Simplify right side
    7,466.88x = 25,457,496.43
  5. Step 5: Solve for x
    x = 25,457,496.43/7,466.88
  6. Step 6: Final answer
    x = 3,409.39

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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.