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Finding the Fourth Proportional to 7,952.85, 10,974.42 and 4,367.87

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Solution

The fourth proportional to 7,952.85, 10,974.42 and 4,367.87 is: 6,027.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.85 : 10,974.42 = 4,367.87 : x
  2. Step 2: Convert to fraction form
    7,952.85/10,974.42 = 4,367.87/x
  3. Step 3: Cross multiply
    7,952.85x = 10,974.42 × 4,367.87
  4. Step 4: Simplify right side
    7,952.85x = 47,934,826.17
  5. Step 5: Solve for x
    x = 47,934,826.17/7,952.85
  6. Step 6: Final answer
    x = 6,027.38

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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.