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Finding the Fourth Proportional to 11,149, 16,731.18 and 3,853

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Solution

The fourth proportional to 11,149, 16,731.18 and 3,853 is: 5,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149 : 16,731.18 = 3,853 : x
  2. Step 2: Convert to fraction form
    11,149/16,731.18 = 3,853/x
  3. Step 3: Cross multiply
    11,149x = 16,731.18 × 3,853
  4. Step 4: Simplify right side
    11,149x = 64,465,236.54
  5. Step 5: Solve for x
    x = 64,465,236.54/11,149
  6. Step 6: Final answer
    x = 5,782.15

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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.