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Finding the Fourth Proportional to 11,524.74, 17,272.68 and 4,943.22

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Solution

The fourth proportional to 11,524.74, 17,272.68 and 4,943.22 is: 7,408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.74 : 17,272.68 = 4,943.22 : x
  2. Step 2: Convert to fraction form
    11,524.74/17,272.68 = 4,943.22/x
  3. Step 3: Cross multiply
    11,524.74x = 17,272.68 × 4,943.22
  4. Step 4: Simplify right side
    11,524.74x = 85,382,657.23
  5. Step 5: Solve for x
    x = 85,382,657.23/11,524.74
  6. Step 6: Final answer
    x = 7,408.64

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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.