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Finding the Fourth Proportional to 11,143.13, 16,714.31 and 3,747.42

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Solution

The fourth proportional to 11,143.13, 16,714.31 and 3,747.42 is: 5,621.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.13 : 16,714.31 = 3,747.42 : x
  2. Step 2: Convert to fraction form
    11,143.13/16,714.31 = 3,747.42/x
  3. Step 3: Cross multiply
    11,143.13x = 16,714.31 × 3,747.42
  4. Step 4: Simplify right side
    11,143.13x = 62,635,520.84
  5. Step 5: Solve for x
    x = 62,635,520.84/11,143.13
  6. Step 6: Final answer
    x = 5,621.00

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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.