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Finding the Fourth Proportional to 8,010.92, 11,055.27 and 4,474.39

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Solution

The fourth proportional to 8,010.92, 11,055.27 and 4,474.39 is: 6,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,010.92 : 11,055.27 = 4,474.39 : x
  2. Step 2: Convert to fraction form
    8,010.92/11,055.27 = 4,474.39/x
  3. Step 3: Cross multiply
    8,010.92x = 11,055.27 × 4,474.39
  4. Step 4: Simplify right side
    8,010.92x = 49,465,589.54
  5. Step 5: Solve for x
    x = 49,465,589.54/8,010.92
  6. Step 6: Final answer
    x = 6,174.77

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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.