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Finding the Fourth Proportional to 11,324.22, 16,984.79 and 4,306

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Solution

The fourth proportional to 11,324.22, 16,984.79 and 4,306 is: 6,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.22 : 16,984.79 = 4,306 : x
  2. Step 2: Convert to fraction form
    11,324.22/16,984.79 = 4,306/x
  3. Step 3: Cross multiply
    11,324.22x = 16,984.79 × 4,306
  4. Step 4: Simplify right side
    11,324.22x = 73,136,505.74
  5. Step 5: Solve for x
    x = 73,136,505.74/11,324.22
  6. Step 6: Final answer
    x = 6,458.41

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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.