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Finding the Fourth Proportional to 11,174.36, 15,420.38 and 6,138.64

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Solution

The fourth proportional to 11,174.36, 15,420.38 and 6,138.64 is: 8,471.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.36 : 15,420.38 = 6,138.64 : x
  2. Step 2: Convert to fraction form
    11,174.36/15,420.38 = 6,138.64/x
  3. Step 3: Cross multiply
    11,174.36x = 15,420.38 × 6,138.64
  4. Step 4: Simplify right side
    11,174.36x = 94,660,161.48
  5. Step 5: Solve for x
    x = 94,660,161.48/11,174.36
  6. Step 6: Final answer
    x = 8,471.19

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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.