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Finding the Fourth Proportional to 8,507.71, 12,757.96 and 3,241.90

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Solution

The fourth proportional to 8,507.71, 12,757.96 and 3,241.90 is: 4,861.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.71 : 12,757.96 = 3,241.90 : x
  2. Step 2: Convert to fraction form
    8,507.71/12,757.96 = 3,241.90/x
  3. Step 3: Cross multiply
    8,507.71x = 12,757.96 × 3,241.90
  4. Step 4: Simplify right side
    8,507.71x = 41,360,030.52
  5. Step 5: Solve for x
    x = 41,360,030.52/8,507.71
  6. Step 6: Final answer
    x = 4,861.48

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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.