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Finding the Fourth Proportional to 11,543.96, 17,313.45 and 3,647.09

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Solution

The fourth proportional to 11,543.96, 17,313.45 and 3,647.09 is: 5,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.96 : 17,313.45 = 3,647.09 : x
  2. Step 2: Convert to fraction form
    11,543.96/17,313.45 = 3,647.09/x
  3. Step 3: Cross multiply
    11,543.96x = 17,313.45 × 3,647.09
  4. Step 4: Simplify right side
    11,543.96x = 63,143,710.36
  5. Step 5: Solve for x
    x = 63,143,710.36/11,543.96
  6. Step 6: Final answer
    x = 5,469.85

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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.