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Finding the Fourth Proportional to 11,918.15, 16,447 and 6,540.68

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Solution

The fourth proportional to 11,918.15, 16,447 and 6,540.68 is: 9,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.15 : 16,447 = 6,540.68 : x
  2. Step 2: Convert to fraction form
    11,918.15/16,447 = 6,540.68/x
  3. Step 3: Cross multiply
    11,918.15x = 16,447 × 6,540.68
  4. Step 4: Simplify right side
    11,918.15x = 107,574,563.96
  5. Step 5: Solve for x
    x = 107,574,563.96/11,918.15
  6. Step 6: Final answer
    x = 9,026.11

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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.