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Finding the Fourth Proportional to 8,020.83, 11,962.90 and 7,518.49

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Solution

The fourth proportional to 8,020.83, 11,962.90 and 7,518.49 is: 11,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.83 : 11,962.90 = 7,518.49 : x
  2. Step 2: Convert to fraction form
    8,020.83/11,962.90 = 7,518.49/x
  3. Step 3: Cross multiply
    8,020.83x = 11,962.90 × 7,518.49
  4. Step 4: Simplify right side
    8,020.83x = 89,942,944.02
  5. Step 5: Solve for x
    x = 89,942,944.02/8,020.83
  6. Step 6: Final answer
    x = 11,213.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.