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Finding the Fourth Proportional to 8,481.46, 11,704.49 and 4,704.67

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Solution

The fourth proportional to 8,481.46, 11,704.49 and 4,704.67 is: 6,492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,481.46 : 11,704.49 = 4,704.67 : x
  2. Step 2: Convert to fraction form
    8,481.46/11,704.49 = 4,704.67/x
  3. Step 3: Cross multiply
    8,481.46x = 11,704.49 × 4,704.67
  4. Step 4: Simplify right side
    8,481.46x = 55,065,778.41
  5. Step 5: Solve for x
    x = 55,065,778.41/8,481.46
  6. Step 6: Final answer
    x = 6,492.49

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Why These Related Problems?

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