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Finding the Fourth Proportional to 8,241.27, 11,372.94 and 4,464.46

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Solution

The fourth proportional to 8,241.27, 11,372.94 and 4,464.46 is: 6,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.27 : 11,372.94 = 4,464.46 : x
  2. Step 2: Convert to fraction form
    8,241.27/11,372.94 = 4,464.46/x
  3. Step 3: Cross multiply
    8,241.27x = 11,372.94 × 4,464.46
  4. Step 4: Simplify right side
    8,241.27x = 50,774,035.71
  5. Step 5: Solve for x
    x = 50,774,035.71/8,241.27
  6. Step 6: Final answer
    x = 6,160.95

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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.