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Finding the Fourth Proportional to 11,484.84, 17,227.23 and 3,164.90

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Solution

The fourth proportional to 11,484.84, 17,227.23 and 3,164.90 is: 4,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.84 : 17,227.23 = 3,164.90 : x
  2. Step 2: Convert to fraction form
    11,484.84/17,227.23 = 3,164.90/x
  3. Step 3: Cross multiply
    11,484.84x = 17,227.23 × 3,164.90
  4. Step 4: Simplify right side
    11,484.84x = 54,522,374.09
  5. Step 5: Solve for x
    x = 54,522,374.09/11,484.84
  6. Step 6: Final answer
    x = 4,747.33

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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.