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Finding the Fourth Proportional to 11,418.71, 15,757.91 and 6,383.14

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Solution

The fourth proportional to 11,418.71, 15,757.91 and 6,383.14 is: 8,808.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,418.71 : 15,757.91 = 6,383.14 : x
  2. Step 2: Convert to fraction form
    11,418.71/15,757.91 = 6,383.14/x
  3. Step 3: Cross multiply
    11,418.71x = 15,757.91 × 6,383.14
  4. Step 4: Simplify right side
    11,418.71x = 100,584,898.26
  5. Step 5: Solve for x
    x = 100,584,898.26/11,418.71
  6. Step 6: Final answer
    x = 8,808.78

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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.