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Finding the Fourth Proportional to 8,189.39, 11,306.52 and 5,804.42

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Solution

The fourth proportional to 8,189.39, 11,306.52 and 5,804.42 is: 8,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.39 : 11,306.52 = 5,804.42 : x
  2. Step 2: Convert to fraction form
    8,189.39/11,306.52 = 5,804.42/x
  3. Step 3: Cross multiply
    8,189.39x = 11,306.52 × 5,804.42
  4. Step 4: Simplify right side
    8,189.39x = 65,627,790.82
  5. Step 5: Solve for x
    x = 65,627,790.82/8,189.39
  6. Step 6: Final answer
    x = 8,013.76

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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.