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Finding the Fourth Proportional to 11,650.82, 16,078.19 and 6,345.68

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Solution

The fourth proportional to 11,650.82, 16,078.19 and 6,345.68 is: 8,757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.82 : 16,078.19 = 6,345.68 : x
  2. Step 2: Convert to fraction form
    11,650.82/16,078.19 = 6,345.68/x
  3. Step 3: Cross multiply
    11,650.82x = 16,078.19 × 6,345.68
  4. Step 4: Simplify right side
    11,650.82x = 102,026,936.60
  5. Step 5: Solve for x
    x = 102,026,936.60/11,650.82
  6. Step 6: Final answer
    x = 8,757.06

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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.