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Finding the Fourth Proportional to 11,681.44, 17,529.84 and 5,522.08

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Solution

The fourth proportional to 11,681.44, 17,529.84 and 5,522.08 is: 8,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.44 : 17,529.84 = 5,522.08 : x
  2. Step 2: Convert to fraction form
    11,681.44/17,529.84 = 5,522.08/x
  3. Step 3: Cross multiply
    11,681.44x = 17,529.84 × 5,522.08
  4. Step 4: Simplify right side
    11,681.44x = 96,801,178.87
  5. Step 5: Solve for x
    x = 96,801,178.87/11,681.44
  6. Step 6: Final answer
    x = 8,286.75

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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.