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Finding the Fourth Proportional to 11,407.79, 17,115.93 and 6,974.54

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Solution

The fourth proportional to 11,407.79, 17,115.93 and 6,974.54 is: 10,464.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.79 : 17,115.93 = 6,974.54 : x
  2. Step 2: Convert to fraction form
    11,407.79/17,115.93 = 6,974.54/x
  3. Step 3: Cross multiply
    11,407.79x = 17,115.93 × 6,974.54
  4. Step 4: Simplify right side
    11,407.79x = 119,375,738.42
  5. Step 5: Solve for x
    x = 119,375,738.42/11,407.79
  6. Step 6: Final answer
    x = 10,464.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.