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Finding the Fourth Proportional to 8,199.50, 12,300.81 and 3,518.84

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Solution

The fourth proportional to 8,199.50, 12,300.81 and 3,518.84 is: 5,278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.50 : 12,300.81 = 3,518.84 : x
  2. Step 2: Convert to fraction form
    8,199.50/12,300.81 = 3,518.84/x
  3. Step 3: Cross multiply
    8,199.50x = 12,300.81 × 3,518.84
  4. Step 4: Simplify right side
    8,199.50x = 43,284,520.76
  5. Step 5: Solve for x
    x = 43,284,520.76/8,199.50
  6. Step 6: Final answer
    x = 5,278.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.