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Finding the Fourth Proportional to 8,782.26, 13,158.77 and 6,179.73

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Solution

The fourth proportional to 8,782.26, 13,158.77 and 6,179.73 is: 9,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.26 : 13,158.77 = 6,179.73 : x
  2. Step 2: Convert to fraction form
    8,782.26/13,158.77 = 6,179.73/x
  3. Step 3: Cross multiply
    8,782.26x = 13,158.77 × 6,179.73
  4. Step 4: Simplify right side
    8,782.26x = 81,317,614.83
  5. Step 5: Solve for x
    x = 81,317,614.83/8,782.26
  6. Step 6: Final answer
    x = 9,259.30

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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.