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Finding the Fourth Proportional to 11,756.74, 17,626.49 and 4,361.23

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Solution

The fourth proportional to 11,756.74, 17,626.49 and 4,361.23 is: 6,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.74 : 17,626.49 = 4,361.23 : x
  2. Step 2: Convert to fraction form
    11,756.74/17,626.49 = 4,361.23/x
  3. Step 3: Cross multiply
    11,756.74x = 17,626.49 × 4,361.23
  4. Step 4: Simplify right side
    11,756.74x = 76,873,176.98
  5. Step 5: Solve for x
    x = 76,873,176.98/11,756.74
  6. Step 6: Final answer
    x = 6,538.65

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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.