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Finding the Fourth Proportional to 11,606.49, 17,409.74 and 4,208.52

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Solution

The fourth proportional to 11,606.49, 17,409.74 and 4,208.52 is: 6,312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.49 : 17,409.74 = 4,208.52 : x
  2. Step 2: Convert to fraction form
    11,606.49/17,409.74 = 4,208.52/x
  3. Step 3: Cross multiply
    11,606.49x = 17,409.74 × 4,208.52
  4. Step 4: Simplify right side
    11,606.49x = 73,269,217.94
  5. Step 5: Solve for x
    x = 73,269,217.94/11,606.49
  6. Step 6: Final answer
    x = 6,312.78

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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.