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Finding the Fourth Proportional to 11,794.32, 16,275.76 and 6,949.04

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Solution

The fourth proportional to 11,794.32, 16,275.76 and 6,949.04 is: 9,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.32 : 16,275.76 = 6,949.04 : x
  2. Step 2: Convert to fraction form
    11,794.32/16,275.76 = 6,949.04/x
  3. Step 3: Cross multiply
    11,794.32x = 16,275.76 × 6,949.04
  4. Step 4: Simplify right side
    11,794.32x = 113,100,907.27
  5. Step 5: Solve for x
    x = 113,100,907.27/11,794.32
  6. Step 6: Final answer
    x = 9,589.44

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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.