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Finding the Fourth Proportional to 11,204.82, 15,463.02 and 6,169.41

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Solution

The fourth proportional to 11,204.82, 15,463.02 and 6,169.41 is: 8,513.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,204.82 : 15,463.02 = 6,169.41 : x
  2. Step 2: Convert to fraction form
    11,204.82/15,463.02 = 6,169.41/x
  3. Step 3: Cross multiply
    11,204.82x = 15,463.02 × 6,169.41
  4. Step 4: Simplify right side
    11,204.82x = 95,397,710.22
  5. Step 5: Solve for x
    x = 95,397,710.22/11,204.82
  6. Step 6: Final answer
    x = 8,513.99

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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.