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Finding the Fourth Proportional to 11,940.23, 16,477.02 and 6,635

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Solution

The fourth proportional to 11,940.23, 16,477.02 and 6,635 is: 9,156.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.23 : 16,477.02 = 6,635 : x
  2. Step 2: Convert to fraction form
    11,940.23/16,477.02 = 6,635/x
  3. Step 3: Cross multiply
    11,940.23x = 16,477.02 × 6,635
  4. Step 4: Simplify right side
    11,940.23x = 109,325,027.70
  5. Step 5: Solve for x
    x = 109,325,027.70/11,940.23
  6. Step 6: Final answer
    x = 9,156.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.