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Finding the Fourth Proportional to 8,030.12, 11,077.82 and 5,198.42

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Solution

The fourth proportional to 8,030.12, 11,077.82 and 5,198.42 is: 7,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.12 : 11,077.82 = 5,198.42 : x
  2. Step 2: Convert to fraction form
    8,030.12/11,077.82 = 5,198.42/x
  3. Step 3: Cross multiply
    8,030.12x = 11,077.82 × 5,198.42
  4. Step 4: Simplify right side
    8,030.12x = 57,587,161.04
  5. Step 5: Solve for x
    x = 57,587,161.04/8,030.12
  6. Step 6: Final answer
    x = 7,171.39

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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.