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Finding the Fourth Proportional to 11,232.05, 16,834.41 and 7,946.09

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Solution

The fourth proportional to 11,232.05, 16,834.41 and 7,946.09 is: 11,909.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232.05 : 16,834.41 = 7,946.09 : x
  2. Step 2: Convert to fraction form
    11,232.05/16,834.41 = 7,946.09/x
  3. Step 3: Cross multiply
    11,232.05x = 16,834.41 × 7,946.09
  4. Step 4: Simplify right side
    11,232.05x = 133,767,736.96
  5. Step 5: Solve for x
    x = 133,767,736.96/11,232.05
  6. Step 6: Final answer
    x = 11,909.47

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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.