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Finding the Fourth Proportional to 11,687.15, 16,122.65 and 8,495.49

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Solution

The fourth proportional to 11,687.15, 16,122.65 and 8,495.49 is: 11,719.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.15 : 16,122.65 = 8,495.49 : x
  2. Step 2: Convert to fraction form
    11,687.15/16,122.65 = 8,495.49/x
  3. Step 3: Cross multiply
    11,687.15x = 16,122.65 × 8,495.49
  4. Step 4: Simplify right side
    11,687.15x = 136,969,833.09
  5. Step 5: Solve for x
    x = 136,969,833.09/11,687.15
  6. Step 6: Final answer
    x = 11,719.70

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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.