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Finding the Fourth Proportional to 11,676.37, 17,507.83 and 7,983.08

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Solution

The fourth proportional to 11,676.37, 17,507.83 and 7,983.08 is: 11,970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.37 : 17,507.83 = 7,983.08 : x
  2. Step 2: Convert to fraction form
    11,676.37/17,507.83 = 7,983.08/x
  3. Step 3: Cross multiply
    11,676.37x = 17,507.83 × 7,983.08
  4. Step 4: Simplify right side
    11,676.37x = 139,766,407.52
  5. Step 5: Solve for x
    x = 139,766,407.52/11,676.37
  6. Step 6: Final answer
    x = 11,970.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.