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Finding the Fourth Proportional to 11,381.82, 15,705.64 and 6,906.66

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Solution

The fourth proportional to 11,381.82, 15,705.64 and 6,906.66 is: 9,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.82 : 15,705.64 = 6,906.66 : x
  2. Step 2: Convert to fraction form
    11,381.82/15,705.64 = 6,906.66/x
  3. Step 3: Cross multiply
    11,381.82x = 15,705.64 × 6,906.66
  4. Step 4: Simplify right side
    11,381.82x = 108,473,515.56
  5. Step 5: Solve for x
    x = 108,473,515.56/11,381.82
  6. Step 6: Final answer
    x = 9,530.42

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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.