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Finding the Fourth Proportional to 7,295.52, 10,067.94 and 4,152

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Solution

The fourth proportional to 7,295.52, 10,067.94 and 4,152 is: 5,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.52 : 10,067.94 = 4,152 : x
  2. Step 2: Convert to fraction form
    7,295.52/10,067.94 = 4,152/x
  3. Step 3: Cross multiply
    7,295.52x = 10,067.94 × 4,152
  4. Step 4: Simplify right side
    7,295.52x = 41,802,086.88
  5. Step 5: Solve for x
    x = 41,802,086.88/7,295.52
  6. Step 6: Final answer
    x = 5,729.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.