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Finding the Fourth Proportional to 8,634.81, 11,911.18 and 5,649.96

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Solution

The fourth proportional to 8,634.81, 11,911.18 and 5,649.96 is: 7,793.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.81 : 11,911.18 = 5,649.96 : x
  2. Step 2: Convert to fraction form
    8,634.81/11,911.18 = 5,649.96/x
  3. Step 3: Cross multiply
    8,634.81x = 11,911.18 × 5,649.96
  4. Step 4: Simplify right side
    8,634.81x = 67,297,690.55
  5. Step 5: Solve for x
    x = 67,297,690.55/8,634.81
  6. Step 6: Final answer
    x = 7,793.77

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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.