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Finding the Fourth Proportional to 11,781.44, 16,257.60 and 6,476

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Solution

The fourth proportional to 11,781.44, 16,257.60 and 6,476 is: 8,936.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.44 : 16,257.60 = 6,476 : x
  2. Step 2: Convert to fraction form
    11,781.44/16,257.60 = 6,476/x
  3. Step 3: Cross multiply
    11,781.44x = 16,257.60 × 6,476
  4. Step 4: Simplify right side
    11,781.44x = 105,284,217.60
  5. Step 5: Solve for x
    x = 105,284,217.60/11,781.44
  6. Step 6: Final answer
    x = 8,936.45

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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.