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Finding the Fourth Proportional to 7,843.53, 10,824.03 and 4,258.41

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Solution

The fourth proportional to 7,843.53, 10,824.03 and 4,258.41 is: 5,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.53 : 10,824.03 = 4,258.41 : x
  2. Step 2: Convert to fraction form
    7,843.53/10,824.03 = 4,258.41/x
  3. Step 3: Cross multiply
    7,843.53x = 10,824.03 × 4,258.41
  4. Step 4: Simplify right side
    7,843.53x = 46,093,157.59
  5. Step 5: Solve for x
    x = 46,093,157.59/7,843.53
  6. Step 6: Final answer
    x = 5,876.58

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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.