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Finding the Fourth Proportional to 11,257.60, 16,896.60 and 5,714.80

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Solution

The fourth proportional to 11,257.60, 16,896.60 and 5,714.80 is: 8,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,257.60 : 16,896.60 = 5,714.80 : x
  2. Step 2: Convert to fraction form
    11,257.60/16,896.60 = 5,714.80/x
  3. Step 3: Cross multiply
    11,257.60x = 16,896.60 × 5,714.80
  4. Step 4: Simplify right side
    11,257.60x = 96,560,689.68
  5. Step 5: Solve for x
    x = 96,560,689.68/11,257.60
  6. Step 6: Final answer
    x = 8,577.38

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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.