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Finding the Fourth Proportional to 11,781.46, 17,633.73 and 8,660.64

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Solution

The fourth proportional to 11,781.46, 17,633.73 and 8,660.64 is: 12,962.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.46 : 17,633.73 = 8,660.64 : x
  2. Step 2: Convert to fraction form
    11,781.46/17,633.73 = 8,660.64/x
  3. Step 3: Cross multiply
    11,781.46x = 17,633.73 × 8,660.64
  4. Step 4: Simplify right side
    11,781.46x = 152,719,387.39
  5. Step 5: Solve for x
    x = 152,719,387.39/11,781.46
  6. Step 6: Final answer
    x = 12,962.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.