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Finding the Fourth Proportional to 11,482.64, 17,180.49 and 6,805.16

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Solution

The fourth proportional to 11,482.64, 17,180.49 and 6,805.16 is: 10,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.64 : 17,180.49 = 6,805.16 : x
  2. Step 2: Convert to fraction form
    11,482.64/17,180.49 = 6,805.16/x
  3. Step 3: Cross multiply
    11,482.64x = 17,180.49 × 6,805.16
  4. Step 4: Simplify right side
    11,482.64x = 116,915,949.30
  5. Step 5: Solve for x
    x = 116,915,949.30/11,482.64
  6. Step 6: Final answer
    x = 10,181.97

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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.