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Finding the Fourth Proportional to 7,067.52, 10,596.42 and 3,780

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Solution

The fourth proportional to 7,067.52, 10,596.42 and 3,780 is: 5,667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.52 : 10,596.42 = 3,780 : x
  2. Step 2: Convert to fraction form
    7,067.52/10,596.42 = 3,780/x
  3. Step 3: Cross multiply
    7,067.52x = 10,596.42 × 3,780
  4. Step 4: Simplify right side
    7,067.52x = 40,054,467.60
  5. Step 5: Solve for x
    x = 40,054,467.60/7,067.52
  6. Step 6: Final answer
    x = 5,667.40

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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.