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Finding the Fourth Proportional to 8,199.81, 12,299.03 and 4,910.50

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Solution

The fourth proportional to 8,199.81, 12,299.03 and 4,910.50 is: 7,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.81 : 12,299.03 = 4,910.50 : x
  2. Step 2: Convert to fraction form
    8,199.81/12,299.03 = 4,910.50/x
  3. Step 3: Cross multiply
    8,199.81x = 12,299.03 × 4,910.50
  4. Step 4: Simplify right side
    8,199.81x = 60,394,386.82
  5. Step 5: Solve for x
    x = 60,394,386.82/8,199.81
  6. Step 6: Final answer
    x = 7,365.34

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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.