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Finding the Fourth Proportional to 8,329.83, 12,494.28 and 2,782.59

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Solution

The fourth proportional to 8,329.83, 12,494.28 and 2,782.59 is: 4,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.83 : 12,494.28 = 2,782.59 : x
  2. Step 2: Convert to fraction form
    8,329.83/12,494.28 = 2,782.59/x
  3. Step 3: Cross multiply
    8,329.83x = 12,494.28 × 2,782.59
  4. Step 4: Simplify right side
    8,329.83x = 34,766,458.59
  5. Step 5: Solve for x
    x = 34,766,458.59/8,329.83
  6. Step 6: Final answer
    x = 4,173.73

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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.