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Finding the Fourth Proportional to 8,520.81, 12,781.34 and 2,597.82

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Solution

The fourth proportional to 8,520.81, 12,781.34 and 2,597.82 is: 3,896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.81 : 12,781.34 = 2,597.82 : x
  2. Step 2: Convert to fraction form
    8,520.81/12,781.34 = 2,597.82/x
  3. Step 3: Cross multiply
    8,520.81x = 12,781.34 × 2,597.82
  4. Step 4: Simplify right side
    8,520.81x = 33,203,620.68
  5. Step 5: Solve for x
    x = 33,203,620.68/8,520.81
  6. Step 6: Final answer
    x = 3,896.77

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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.