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Finding the Fourth Proportional to 7,509.26, 11,261.78 and 2,828.90

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Solution

The fourth proportional to 7,509.26, 11,261.78 and 2,828.90 is: 4,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.26 : 11,261.78 = 2,828.90 : x
  2. Step 2: Convert to fraction form
    7,509.26/11,261.78 = 2,828.90/x
  3. Step 3: Cross multiply
    7,509.26x = 11,261.78 × 2,828.90
  4. Step 4: Simplify right side
    7,509.26x = 31,858,449.44
  5. Step 5: Solve for x
    x = 31,858,449.44/7,509.26
  6. Step 6: Final answer
    x = 4,242.56

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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.