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Finding the Fourth Proportional to 11,785.44, 17,678.10 and 3,020.34

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Solution

The fourth proportional to 11,785.44, 17,678.10 and 3,020.34 is: 4,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.44 : 17,678.10 = 3,020.34 : x
  2. Step 2: Convert to fraction form
    11,785.44/17,678.10 = 3,020.34/x
  3. Step 3: Cross multiply
    11,785.44x = 17,678.10 × 3,020.34
  4. Step 4: Simplify right side
    11,785.44x = 53,393,872.55
  5. Step 5: Solve for x
    x = 53,393,872.55/11,785.44
  6. Step 6: Final answer
    x = 4,530.49

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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.