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Finding the Fourth Proportional to 7,869.48, 11,796.12 and 3,489

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Solution

The fourth proportional to 7,869.48, 11,796.12 and 3,489 is: 5,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.48 : 11,796.12 = 3,489 : x
  2. Step 2: Convert to fraction form
    7,869.48/11,796.12 = 3,489/x
  3. Step 3: Cross multiply
    7,869.48x = 11,796.12 × 3,489
  4. Step 4: Simplify right side
    7,869.48x = 41,156,662.68
  5. Step 5: Solve for x
    x = 41,156,662.68/7,869.48
  6. Step 6: Final answer
    x = 5,229.91

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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.