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Finding the Fourth Proportional to 6,725.80, 10,086 and 3,953.17

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Solution

The fourth proportional to 6,725.80, 10,086 and 3,953.17 is: 5,928.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.80 : 10,086 = 3,953.17 : x
  2. Step 2: Convert to fraction form
    6,725.80/10,086 = 3,953.17/x
  3. Step 3: Cross multiply
    6,725.80x = 10,086 × 3,953.17
  4. Step 4: Simplify right side
    6,725.80x = 39,871,672.62
  5. Step 5: Solve for x
    x = 39,871,672.62/6,725.80
  6. Step 6: Final answer
    x = 5,928.17

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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.