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Finding the Fourth Proportional to 11,722.40, 17,580.84 and 3,400.22

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Solution

The fourth proportional to 11,722.40, 17,580.84 and 3,400.22 is: 5,099.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.40 : 17,580.84 = 3,400.22 : x
  2. Step 2: Convert to fraction form
    11,722.40/17,580.84 = 3,400.22/x
  3. Step 3: Cross multiply
    11,722.40x = 17,580.84 × 3,400.22
  4. Step 4: Simplify right side
    11,722.40x = 59,778,723.78
  5. Step 5: Solve for x
    x = 59,778,723.78/11,722.40
  6. Step 6: Final answer
    x = 5,099.53

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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.