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Finding the Fourth Proportional to 11,943.80, 16,482.09 and 6,638.30

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Solution

The fourth proportional to 11,943.80, 16,482.09 and 6,638.30 is: 9,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,943.80 : 16,482.09 = 6,638.30 : x
  2. Step 2: Convert to fraction form
    11,943.80/16,482.09 = 6,638.30/x
  3. Step 3: Cross multiply
    11,943.80x = 16,482.09 × 6,638.30
  4. Step 4: Simplify right side
    11,943.80x = 109,413,058.05
  5. Step 5: Solve for x
    x = 109,413,058.05/11,943.80
  6. Step 6: Final answer
    x = 9,160.66

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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.