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Finding the Fourth Proportional to 11,694.51, 16,132.80 and 8,502.86

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Solution

The fourth proportional to 11,694.51, 16,132.80 and 8,502.86 is: 11,729.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.51 : 16,132.80 = 8,502.86 : x
  2. Step 2: Convert to fraction form
    11,694.51/16,132.80 = 8,502.86/x
  3. Step 3: Cross multiply
    11,694.51x = 16,132.80 × 8,502.86
  4. Step 4: Simplify right side
    11,694.51x = 137,175,012.03
  5. Step 5: Solve for x
    x = 137,175,012.03/11,694.51
  6. Step 6: Final answer
    x = 11,729.86

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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.