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Finding the Fourth Proportional to 11,758.97, 16,227.51 and 6,453.68

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Solution

The fourth proportional to 11,758.97, 16,227.51 and 6,453.68 is: 8,906.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.97 : 16,227.51 = 6,453.68 : x
  2. Step 2: Convert to fraction form
    11,758.97/16,227.51 = 6,453.68/x
  3. Step 3: Cross multiply
    11,758.97x = 16,227.51 × 6,453.68
  4. Step 4: Simplify right side
    11,758.97x = 104,727,051.40
  5. Step 5: Solve for x
    x = 104,727,051.40/11,758.97
  6. Step 6: Final answer
    x = 8,906.14

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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.