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Finding the Fourth Proportional to 11,142.84, 16,714.32 and 3,351.60

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Solution

The fourth proportional to 11,142.84, 16,714.32 and 3,351.60 is: 5,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.84 : 16,714.32 = 3,351.60 : x
  2. Step 2: Convert to fraction form
    11,142.84/16,714.32 = 3,351.60/x
  3. Step 3: Cross multiply
    11,142.84x = 16,714.32 × 3,351.60
  4. Step 4: Simplify right side
    11,142.84x = 56,019,714.91
  5. Step 5: Solve for x
    x = 56,019,714.91/11,142.84
  6. Step 6: Final answer
    x = 5,027.42

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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.