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Finding the Fourth Proportional to 6,782.29, 10,177.22 and 3,662.23

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Solution

The fourth proportional to 6,782.29, 10,177.22 and 3,662.23 is: 5,495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.29 : 10,177.22 = 3,662.23 : x
  2. Step 2: Convert to fraction form
    6,782.29/10,177.22 = 3,662.23/x
  3. Step 3: Cross multiply
    6,782.29x = 10,177.22 × 3,662.23
  4. Step 4: Simplify right side
    6,782.29x = 37,271,302.09
  5. Step 5: Solve for x
    x = 37,271,302.09/6,782.29
  6. Step 6: Final answer
    x = 5,495.39

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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.