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Finding the Fourth Proportional to 7,255.24, 10,879.74 and 2,323.24

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Solution

The fourth proportional to 7,255.24, 10,879.74 and 2,323.24 is: 3,483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,255.24 : 10,879.74 = 2,323.24 : x
  2. Step 2: Convert to fraction form
    7,255.24/10,879.74 = 2,323.24/x
  3. Step 3: Cross multiply
    7,255.24x = 10,879.74 × 2,323.24
  4. Step 4: Simplify right side
    7,255.24x = 25,276,247.16
  5. Step 5: Solve for x
    x = 25,276,247.16/7,255.24
  6. Step 6: Final answer
    x = 3,483.86

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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.