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Finding the Fourth Proportional to 11,754.56, 17,631.19 and 3,856.07

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Solution

The fourth proportional to 11,754.56, 17,631.19 and 3,856.07 is: 5,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.56 : 17,631.19 = 3,856.07 : x
  2. Step 2: Convert to fraction form
    11,754.56/17,631.19 = 3,856.07/x
  3. Step 3: Cross multiply
    11,754.56x = 17,631.19 × 3,856.07
  4. Step 4: Simplify right side
    11,754.56x = 67,987,102.82
  5. Step 5: Solve for x
    x = 67,987,102.82/11,754.56
  6. Step 6: Final answer
    x = 5,783.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.