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Finding the Fourth Proportional to 11,441.31, 15,786.29 and 6,965.01

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Solution

The fourth proportional to 11,441.31, 15,786.29 and 6,965.01 is: 9,610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.31 : 15,786.29 = 6,965.01 : x
  2. Step 2: Convert to fraction form
    11,441.31/15,786.29 = 6,965.01/x
  3. Step 3: Cross multiply
    11,441.31x = 15,786.29 × 6,965.01
  4. Step 4: Simplify right side
    11,441.31x = 109,951,632.89
  5. Step 5: Solve for x
    x = 109,951,632.89/11,441.31
  6. Step 6: Final answer
    x = 9,610.06

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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.