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Finding the Fourth Proportional to 11,142.74, 16,714.41 and 3,244.93

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Solution

The fourth proportional to 11,142.74, 16,714.41 and 3,244.93 is: 4,867.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.74 : 16,714.41 = 3,244.93 : x
  2. Step 2: Convert to fraction form
    11,142.74/16,714.41 = 3,244.93/x
  3. Step 3: Cross multiply
    11,142.74x = 16,714.41 × 3,244.93
  4. Step 4: Simplify right side
    11,142.74x = 54,237,074.22
  5. Step 5: Solve for x
    x = 54,237,074.22/11,142.74
  6. Step 6: Final answer
    x = 4,867.48

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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.