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Finding the Fourth Proportional to 11,197.39, 15,447.24 and 7,219.79

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Solution

The fourth proportional to 11,197.39, 15,447.24 and 7,219.79 is: 9,959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.39 : 15,447.24 = 7,219.79 : x
  2. Step 2: Convert to fraction form
    11,197.39/15,447.24 = 7,219.79/x
  3. Step 3: Cross multiply
    11,197.39x = 15,447.24 × 7,219.79
  4. Step 4: Simplify right side
    11,197.39x = 111,525,724.57
  5. Step 5: Solve for x
    x = 111,525,724.57/11,197.39
  6. Step 6: Final answer
    x = 9,959.97

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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.