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Finding the Fourth Proportional to 11,666.92, 17,504.16 and 3,876.88

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Solution

The fourth proportional to 11,666.92, 17,504.16 and 3,876.88 is: 5,816.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.92 : 17,504.16 = 3,876.88 : x
  2. Step 2: Convert to fraction form
    11,666.92/17,504.16 = 3,876.88/x
  3. Step 3: Cross multiply
    11,666.92x = 17,504.16 × 3,876.88
  4. Step 4: Simplify right side
    11,666.92x = 67,861,527.82
  5. Step 5: Solve for x
    x = 67,861,527.82/11,666.92
  6. Step 6: Final answer
    x = 5,816.58

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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.