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Finding the Fourth Proportional to 11,934.33, 16,469.84 and 8,165.40

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Solution

The fourth proportional to 11,934.33, 16,469.84 and 8,165.40 is: 11,268.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,934.33 : 16,469.84 = 8,165.40 : x
  2. Step 2: Convert to fraction form
    11,934.33/16,469.84 = 8,165.40/x
  3. Step 3: Cross multiply
    11,934.33x = 16,469.84 × 8,165.40
  4. Step 4: Simplify right side
    11,934.33x = 134,482,851.95
  5. Step 5: Solve for x
    x = 134,482,851.95/11,934.33
  6. Step 6: Final answer
    x = 11,268.57

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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.