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Finding the Fourth Proportional to 11,983.84, 16,537.88 and 6,880.20

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Solution

The fourth proportional to 11,983.84, 16,537.88 and 6,880.20 is: 9,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,983.84 : 16,537.88 = 6,880.20 : x
  2. Step 2: Convert to fraction form
    11,983.84/16,537.88 = 6,880.20/x
  3. Step 3: Cross multiply
    11,983.84x = 16,537.88 × 6,880.20
  4. Step 4: Simplify right side
    11,983.84x = 113,783,921.98
  5. Step 5: Solve for x
    x = 113,783,921.98/11,983.84
  6. Step 6: Final answer
    x = 9,494.78

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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.