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Finding the Fourth Proportional to 7,843.20, 10,823.57 and 4,258.23

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Solution

The fourth proportional to 7,843.20, 10,823.57 and 4,258.23 is: 5,876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.20 : 10,823.57 = 4,258.23 : x
  2. Step 2: Convert to fraction form
    7,843.20/10,823.57 = 4,258.23/x
  3. Step 3: Cross multiply
    7,843.20x = 10,823.57 × 4,258.23
  4. Step 4: Simplify right side
    7,843.20x = 46,089,250.48
  5. Step 5: Solve for x
    x = 46,089,250.48/7,843.20
  6. Step 6: Final answer
    x = 5,876.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.