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Finding the Fourth Proportional to 12,911.05, 17,812.87 and 8,198.07

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Solution

The fourth proportional to 12,911.05, 17,812.87 and 8,198.07 is: 11,310.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.05 : 17,812.87 = 8,198.07 : x
  2. Step 2: Convert to fraction form
    12,911.05/17,812.87 = 8,198.07/x
  3. Step 3: Cross multiply
    12,911.05x = 17,812.87 × 8,198.07
  4. Step 4: Simplify right side
    12,911.05x = 146,031,155.16
  5. Step 5: Solve for x
    x = 146,031,155.16/12,911.05
  6. Step 6: Final answer
    x = 11,310.56

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