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Finding the Fourth Proportional to 11,647.24, 17,473.74 and 3,856.84

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Solution

The fourth proportional to 11,647.24, 17,473.74 and 3,856.84 is: 5,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.24 : 17,473.74 = 3,856.84 : x
  2. Step 2: Convert to fraction form
    11,647.24/17,473.74 = 3,856.84/x
  3. Step 3: Cross multiply
    11,647.24x = 17,473.74 × 3,856.84
  4. Step 4: Simplify right side
    11,647.24x = 67,393,419.38
  5. Step 5: Solve for x
    x = 67,393,419.38/11,647.24
  6. Step 6: Final answer
    x = 5,786.21

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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.