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Finding the Fourth Proportional to 8,519.86, 12,781.71 and 2,597.27

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Solution

The fourth proportional to 8,519.86, 12,781.71 and 2,597.27 is: 3,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.86 : 12,781.71 = 2,597.27 : x
  2. Step 2: Convert to fraction form
    8,519.86/12,781.71 = 2,597.27/x
  3. Step 3: Cross multiply
    8,519.86x = 12,781.71 × 2,597.27
  4. Step 4: Simplify right side
    8,519.86x = 33,197,488.02
  5. Step 5: Solve for x
    x = 33,197,488.02/8,519.86
  6. Step 6: Final answer
    x = 3,896.48

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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.