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Finding the Fourth Proportional to 8,519.69, 12,782.57 and 3,255.10

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Solution

The fourth proportional to 8,519.69, 12,782.57 and 3,255.10 is: 4,883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.69 : 12,782.57 = 3,255.10 : x
  2. Step 2: Convert to fraction form
    8,519.69/12,782.57 = 3,255.10/x
  3. Step 3: Cross multiply
    8,519.69x = 12,782.57 × 3,255.10
  4. Step 4: Simplify right side
    8,519.69x = 41,608,543.61
  5. Step 5: Solve for x
    x = 41,608,543.61/8,519.69
  6. Step 6: Final answer
    x = 4,883.81

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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.