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Finding the Fourth Proportional to 11,446.91, 15,797.31 and 6,410.83

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Solution

The fourth proportional to 11,446.91, 15,797.31 and 6,410.83 is: 8,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.91 : 15,797.31 = 6,410.83 : x
  2. Step 2: Convert to fraction form
    11,446.91/15,797.31 = 6,410.83/x
  3. Step 3: Cross multiply
    11,446.91x = 15,797.31 × 6,410.83
  4. Step 4: Simplify right side
    11,446.91x = 101,273,868.87
  5. Step 5: Solve for x
    x = 101,273,868.87/11,446.91
  6. Step 6: Final answer
    x = 8,847.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.