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Finding the Fourth Proportional to 11,446.37, 15,796.37 and 6,410.80

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Solution

The fourth proportional to 11,446.37, 15,796.37 and 6,410.80 is: 8,847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.37 : 15,796.37 = 6,410.80 : x
  2. Step 2: Convert to fraction form
    11,446.37/15,796.37 = 6,410.80/x
  3. Step 3: Cross multiply
    11,446.37x = 15,796.37 × 6,410.80
  4. Step 4: Simplify right side
    11,446.37x = 101,267,345.33
  5. Step 5: Solve for x
    x = 101,267,345.33/11,446.37
  6. Step 6: Final answer
    x = 8,847.12

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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.