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Finding the Fourth Proportional to 11,221.37, 15,484.78 and 6,185.31

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Solution

The fourth proportional to 11,221.37, 15,484.78 and 6,185.31 is: 8,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.37 : 15,484.78 = 6,185.31 : x
  2. Step 2: Convert to fraction form
    11,221.37/15,484.78 = 6,185.31/x
  3. Step 3: Cross multiply
    11,221.37x = 15,484.78 × 6,185.31
  4. Step 4: Simplify right side
    11,221.37x = 95,778,149.12
  5. Step 5: Solve for x
    x = 95,778,149.12/11,221.37
  6. Step 6: Final answer
    x = 8,535.34

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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.