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Finding the Fourth Proportional to 7,360, 11,040.24 and 3,256

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Solution

The fourth proportional to 7,360, 11,040.24 and 3,256 is: 4,884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,360 : 11,040.24 = 3,256 : x
  2. Step 2: Convert to fraction form
    7,360/11,040.24 = 3,256/x
  3. Step 3: Cross multiply
    7,360x = 11,040.24 × 3,256
  4. Step 4: Simplify right side
    7,360x = 35,947,021.44
  5. Step 5: Solve for x
    x = 35,947,021.44/7,360
  6. Step 6: Final answer
    x = 4,884.11

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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.