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Finding the Fourth Proportional to 7,512.75, 11,258.16 and 4,226.76

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Solution

The fourth proportional to 7,512.75, 11,258.16 and 4,226.76 is: 6,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512.75 : 11,258.16 = 4,226.76 : x
  2. Step 2: Convert to fraction form
    7,512.75/11,258.16 = 4,226.76/x
  3. Step 3: Cross multiply
    7,512.75x = 11,258.16 × 4,226.76
  4. Step 4: Simplify right side
    7,512.75x = 47,585,540.36
  5. Step 5: Solve for x
    x = 47,585,540.36/7,512.75
  6. Step 6: Final answer
    x = 6,333.97

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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.