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Finding the Fourth Proportional to 11,469.72, 17,189.04 and 4,894.08

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Solution

The fourth proportional to 11,469.72, 17,189.04 and 4,894.08 is: 7,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.72 : 17,189.04 = 4,894.08 : x
  2. Step 2: Convert to fraction form
    11,469.72/17,189.04 = 4,894.08/x
  3. Step 3: Cross multiply
    11,469.72x = 17,189.04 × 4,894.08
  4. Step 4: Simplify right side
    11,469.72x = 84,124,536.88
  5. Step 5: Solve for x
    x = 84,124,536.88/11,469.72
  6. Step 6: Final answer
    x = 7,334.49

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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.