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Finding the Fourth Proportional to 11,477.82, 17,216.49 and 3,157.80

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Solution

The fourth proportional to 11,477.82, 17,216.49 and 3,157.80 is: 4,736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.82 : 17,216.49 = 3,157.80 : x
  2. Step 2: Convert to fraction form
    11,477.82/17,216.49 = 3,157.80/x
  3. Step 3: Cross multiply
    11,477.82x = 17,216.49 × 3,157.80
  4. Step 4: Simplify right side
    11,477.82x = 54,366,232.12
  5. Step 5: Solve for x
    x = 54,366,232.12/11,477.82
  6. Step 6: Final answer
    x = 4,736.63

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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.