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Finding the Fourth Proportional to 11,381.25, 15,704.86 and 6,906.09

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Solution

The fourth proportional to 11,381.25, 15,704.86 and 6,906.09 is: 9,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.25 : 15,704.86 = 6,906.09 : x
  2. Step 2: Convert to fraction form
    11,381.25/15,704.86 = 6,906.09/x
  3. Step 3: Cross multiply
    11,381.25x = 15,704.86 × 6,906.09
  4. Step 4: Simplify right side
    11,381.25x = 108,459,215.86
  5. Step 5: Solve for x
    x = 108,459,215.86/11,381.25
  6. Step 6: Final answer
    x = 9,529.64

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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.