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Finding the Fourth Proportional to 11,142.68, 16,714.86 and 3,747.16

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Solution

The fourth proportional to 11,142.68, 16,714.86 and 3,747.16 is: 5,621.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.68 : 16,714.86 = 3,747.16 : x
  2. Step 2: Convert to fraction form
    11,142.68/16,714.86 = 3,747.16/x
  3. Step 3: Cross multiply
    11,142.68x = 16,714.86 × 3,747.16
  4. Step 4: Simplify right side
    11,142.68x = 62,633,254.80
  5. Step 5: Solve for x
    x = 62,633,254.80/11,142.68
  6. Step 6: Final answer
    x = 5,621.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.