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Finding the Fourth Proportional to 11,774.97, 17,662.05 and 3,009.96

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Solution

The fourth proportional to 11,774.97, 17,662.05 and 3,009.96 is: 4,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.97 : 17,662.05 = 3,009.96 : x
  2. Step 2: Convert to fraction form
    11,774.97/17,662.05 = 3,009.96/x
  3. Step 3: Cross multiply
    11,774.97x = 17,662.05 × 3,009.96
  4. Step 4: Simplify right side
    11,774.97x = 53,162,064.02
  5. Step 5: Solve for x
    x = 53,162,064.02/11,774.97
  6. Step 6: Final answer
    x = 4,514.84

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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.