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Finding the Fourth Proportional to 8,241.87, 11,360.48 and 6,446.17

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Solution

The fourth proportional to 8,241.87, 11,360.48 and 6,446.17 is: 8,885.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.87 : 11,360.48 = 6,446.17 : x
  2. Step 2: Convert to fraction form
    8,241.87/11,360.48 = 6,446.17/x
  3. Step 3: Cross multiply
    8,241.87x = 11,360.48 × 6,446.17
  4. Step 4: Simplify right side
    8,241.87x = 73,231,585.36
  5. Step 5: Solve for x
    x = 73,231,585.36/8,241.87
  6. Step 6: Final answer
    x = 8,885.31

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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.