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Finding the Fourth Proportional to 11,708.64, 17,558.56 and 3,809.09

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Solution

The fourth proportional to 11,708.64, 17,558.56 and 3,809.09 is: 5,712.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.64 : 17,558.56 = 3,809.09 : x
  2. Step 2: Convert to fraction form
    11,708.64/17,558.56 = 3,809.09/x
  3. Step 3: Cross multiply
    11,708.64x = 17,558.56 × 3,809.09
  4. Step 4: Simplify right side
    11,708.64x = 66,882,169.68
  5. Step 5: Solve for x
    x = 66,882,169.68/11,708.64
  6. Step 6: Final answer
    x = 5,712.20

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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.