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Finding the Fourth Proportional to 11,661.84, 17,480.61 and 5,086.26

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Solution

The fourth proportional to 11,661.84, 17,480.61 and 5,086.26 is: 7,624.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.84 : 17,480.61 = 5,086.26 : x
  2. Step 2: Convert to fraction form
    11,661.84/17,480.61 = 5,086.26/x
  3. Step 3: Cross multiply
    11,661.84x = 17,480.61 × 5,086.26
  4. Step 4: Simplify right side
    11,661.84x = 88,910,927.42
  5. Step 5: Solve for x
    x = 88,910,927.42/11,661.84
  6. Step 6: Final answer
    x = 7,624.09

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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.