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Finding the Fourth Proportional to 11,640.12, 16,052.34 and 8,983.32

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Solution

The fourth proportional to 11,640.12, 16,052.34 and 8,983.32 is: 12,388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.12 : 16,052.34 = 8,983.32 : x
  2. Step 2: Convert to fraction form
    11,640.12/16,052.34 = 8,983.32/x
  3. Step 3: Cross multiply
    11,640.12x = 16,052.34 × 8,983.32
  4. Step 4: Simplify right side
    11,640.12x = 144,203,306.97
  5. Step 5: Solve for x
    x = 144,203,306.97/11,640.12
  6. Step 6: Final answer
    x = 12,388.47

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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.