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Finding the Fourth Proportional to 11,616.87, 17,419.37 and 4,219.59

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Solution

The fourth proportional to 11,616.87, 17,419.37 and 4,219.59 is: 6,327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.87 : 17,419.37 = 4,219.59 : x
  2. Step 2: Convert to fraction form
    11,616.87/17,419.37 = 4,219.59/x
  3. Step 3: Cross multiply
    11,616.87x = 17,419.37 × 4,219.59
  4. Step 4: Simplify right side
    11,616.87x = 73,502,578.36
  5. Step 5: Solve for x
    x = 73,502,578.36/11,616.87
  6. Step 6: Final answer
    x = 6,327.23

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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.