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Finding the Fourth Proportional to 11,939.72, 17,871.42 and 7,983.32

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Solution

The fourth proportional to 11,939.72, 17,871.42 and 7,983.32 is: 11,949.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,939.72 : 17,871.42 = 7,983.32 : x
  2. Step 2: Convert to fraction form
    11,939.72/17,871.42 = 7,983.32/x
  3. Step 3: Cross multiply
    11,939.72x = 17,871.42 × 7,983.32
  4. Step 4: Simplify right side
    11,939.72x = 142,673,264.71
  5. Step 5: Solve for x
    x = 142,673,264.71/11,939.72
  6. Step 6: Final answer
    x = 11,949.46

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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.