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Finding the Fourth Proportional to 11,722.90, 17,584.54 and 3,825.40

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Solution

The fourth proportional to 11,722.90, 17,584.54 and 3,825.40 is: 5,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.90 : 17,584.54 = 3,825.40 : x
  2. Step 2: Convert to fraction form
    11,722.90/17,584.54 = 3,825.40/x
  3. Step 3: Cross multiply
    11,722.90x = 17,584.54 × 3,825.40
  4. Step 4: Simplify right side
    11,722.90x = 67,267,899.32
  5. Step 5: Solve for x
    x = 67,267,899.32/11,722.90
  6. Step 6: Final answer
    x = 5,738.16

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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.