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Finding the Fourth Proportional to 8,512.57, 11,747.37 and 4,975.84

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Solution

The fourth proportional to 8,512.57, 11,747.37 and 4,975.84 is: 6,866.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.57 : 11,747.37 = 4,975.84 : x
  2. Step 2: Convert to fraction form
    8,512.57/11,747.37 = 4,975.84/x
  3. Step 3: Cross multiply
    8,512.57x = 11,747.37 × 4,975.84
  4. Step 4: Simplify right side
    8,512.57x = 58,453,033.54
  5. Step 5: Solve for x
    x = 58,453,033.54/8,512.57
  6. Step 6: Final answer
    x = 6,866.67

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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.