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Finding the Fourth Proportional to 6,893.80, 10,332.50 and 3,965.96

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Solution

The fourth proportional to 6,893.80, 10,332.50 and 3,965.96 is: 5,944.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.80 : 10,332.50 = 3,965.96 : x
  2. Step 2: Convert to fraction form
    6,893.80/10,332.50 = 3,965.96/x
  3. Step 3: Cross multiply
    6,893.80x = 10,332.50 × 3,965.96
  4. Step 4: Simplify right side
    6,893.80x = 40,978,210.21
  5. Step 5: Solve for x
    x = 40,978,210.21/6,893.80
  6. Step 6: Final answer
    x = 5,944.21

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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.