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Finding the Fourth Proportional to 11,626, 17,446.68 and 5,470.48

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Solution

The fourth proportional to 11,626, 17,446.68 and 5,470.48 is: 8,209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626 : 17,446.68 = 5,470.48 : x
  2. Step 2: Convert to fraction form
    11,626/17,446.68 = 5,470.48/x
  3. Step 3: Cross multiply
    11,626x = 17,446.68 × 5,470.48
  4. Step 4: Simplify right side
    11,626x = 95,441,714.01
  5. Step 5: Solve for x
    x = 95,441,714.01/11,626
  6. Step 6: Final answer
    x = 8,209.33

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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.