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Finding the Fourth Proportional to 8,142.99, 12,208.86 and 3,461.85

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Solution

The fourth proportional to 8,142.99, 12,208.86 and 3,461.85 is: 5,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.99 : 12,208.86 = 3,461.85 : x
  2. Step 2: Convert to fraction form
    8,142.99/12,208.86 = 3,461.85/x
  3. Step 3: Cross multiply
    8,142.99x = 12,208.86 × 3,461.85
  4. Step 4: Simplify right side
    8,142.99x = 42,265,241.99
  5. Step 5: Solve for x
    x = 42,265,241.99/8,142.99
  6. Step 6: Final answer
    x = 5,190.38

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