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Finding the Fourth Proportional to 10,016.84, 13,827.49 and 6,241.87

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Solution

The fourth proportional to 10,016.84, 13,827.49 and 6,241.87 is: 8,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.84 : 13,827.49 = 6,241.87 : x
  2. Step 2: Convert to fraction form
    10,016.84/13,827.49 = 6,241.87/x
  3. Step 3: Cross multiply
    10,016.84x = 13,827.49 × 6,241.87
  4. Step 4: Simplify right side
    10,016.84x = 86,309,392.91
  5. Step 5: Solve for x
    x = 86,309,392.91/10,016.84
  6. Step 6: Final answer
    x = 8,616.43

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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.