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Finding the Fourth Proportional to 8,147.14, 11,243.39 and 5,004.34

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Solution

The fourth proportional to 8,147.14, 11,243.39 and 5,004.34 is: 6,906.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.14 : 11,243.39 = 5,004.34 : x
  2. Step 2: Convert to fraction form
    8,147.14/11,243.39 = 5,004.34/x
  3. Step 3: Cross multiply
    8,147.14x = 11,243.39 × 5,004.34
  4. Step 4: Simplify right side
    8,147.14x = 56,265,693.18
  5. Step 5: Solve for x
    x = 56,265,693.18/8,147.14
  6. Step 6: Final answer
    x = 6,906.19

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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.