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Finding the Fourth Proportional to 11,934.58, 16,470.19 and 8,165.65

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Solution

The fourth proportional to 11,934.58, 16,470.19 and 8,165.65 is: 11,268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,934.58 : 16,470.19 = 8,165.65 : x
  2. Step 2: Convert to fraction form
    11,934.58/16,470.19 = 8,165.65/x
  3. Step 3: Cross multiply
    11,934.58x = 16,470.19 × 8,165.65
  4. Step 4: Simplify right side
    11,934.58x = 134,489,806.97
  5. Step 5: Solve for x
    x = 134,489,806.97/11,934.58
  6. Step 6: Final answer
    x = 11,268.92

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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.