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Finding the Fourth Proportional to 11,771.52, 17,664.96 and 5,616

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Solution

The fourth proportional to 11,771.52, 17,664.96 and 5,616 is: 8,427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.52 : 17,664.96 = 5,616 : x
  2. Step 2: Convert to fraction form
    11,771.52/17,664.96 = 5,616/x
  3. Step 3: Cross multiply
    11,771.52x = 17,664.96 × 5,616
  4. Step 4: Simplify right side
    11,771.52x = 99,206,415.36
  5. Step 5: Solve for x
    x = 99,206,415.36/11,771.52
  6. Step 6: Final answer
    x = 8,427.66

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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.