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Finding the Fourth Proportional to 8,131.08, 11,219.01 and 6,119.42

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Solution

The fourth proportional to 8,131.08, 11,219.01 and 6,119.42 is: 8,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.08 : 11,219.01 = 6,119.42 : x
  2. Step 2: Convert to fraction form
    8,131.08/11,219.01 = 6,119.42/x
  3. Step 3: Cross multiply
    8,131.08x = 11,219.01 × 6,119.42
  4. Step 4: Simplify right side
    8,131.08x = 68,653,849.79
  5. Step 5: Solve for x
    x = 68,653,849.79/8,131.08
  6. Step 6: Final answer
    x = 8,443.38

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Why These Related Problems?

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