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Finding the Fourth Proportional to 11,708.31, 17,565.09 and 6,164.26

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Solution

The fourth proportional to 11,708.31, 17,565.09 and 6,164.26 is: 9,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.31 : 17,565.09 = 6,164.26 : x
  2. Step 2: Convert to fraction form
    11,708.31/17,565.09 = 6,164.26/x
  3. Step 3: Cross multiply
    11,708.31x = 17,565.09 × 6,164.26
  4. Step 4: Simplify right side
    11,708.31x = 108,275,781.68
  5. Step 5: Solve for x
    x = 108,275,781.68/11,708.31
  6. Step 6: Final answer
    x = 9,247.78

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