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Finding the Fourth Proportional to 11,586.84, 17,382.90 and 3,795.48

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Solution

The fourth proportional to 11,586.84, 17,382.90 and 3,795.48 is: 5,694.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.84 : 17,382.90 = 3,795.48 : x
  2. Step 2: Convert to fraction form
    11,586.84/17,382.90 = 3,795.48/x
  3. Step 3: Cross multiply
    11,586.84x = 17,382.90 × 3,795.48
  4. Step 4: Simplify right side
    11,586.84x = 65,976,449.29
  5. Step 5: Solve for x
    x = 65,976,449.29/11,586.84
  6. Step 6: Final answer
    x = 5,694.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.