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Finding the Fourth Proportional to 7,898.46, 11,847.21 and 2,351.82

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Solution

The fourth proportional to 7,898.46, 11,847.21 and 2,351.82 is: 3,527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.46 : 11,847.21 = 2,351.82 : x
  2. Step 2: Convert to fraction form
    7,898.46/11,847.21 = 2,351.82/x
  3. Step 3: Cross multiply
    7,898.46x = 11,847.21 × 2,351.82
  4. Step 4: Simplify right side
    7,898.46x = 27,862,505.42
  5. Step 5: Solve for x
    x = 27,862,505.42/7,898.46
  6. Step 6: Final answer
    x = 3,527.59

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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.