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Finding the Fourth Proportional to 11,713.82, 16,175.92 and 7,529.42

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Solution

The fourth proportional to 11,713.82, 16,175.92 and 7,529.42 is: 10,397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.82 : 16,175.92 = 7,529.42 : x
  2. Step 2: Convert to fraction form
    11,713.82/16,175.92 = 7,529.42/x
  3. Step 3: Cross multiply
    11,713.82x = 16,175.92 × 7,529.42
  4. Step 4: Simplify right side
    11,713.82x = 121,795,295.57
  5. Step 5: Solve for x
    x = 121,795,295.57/11,713.82
  6. Step 6: Final answer
    x = 10,397.57

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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.