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Finding the Fourth Proportional to 8,131.17, 11,214.20 and 6,449.92

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Solution

The fourth proportional to 8,131.17, 11,214.20 and 6,449.92 is: 8,895.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.17 : 11,214.20 = 6,449.92 : x
  2. Step 2: Convert to fraction form
    8,131.17/11,214.20 = 6,449.92/x
  3. Step 3: Cross multiply
    8,131.17x = 11,214.20 × 6,449.92
  4. Step 4: Simplify right side
    8,131.17x = 72,330,692.86
  5. Step 5: Solve for x
    x = 72,330,692.86/8,131.17
  6. Step 6: Final answer
    x = 8,895.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.