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Finding the Fourth Proportional to 11,953.56, 17,930.37 and 5,694.60

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Solution

The fourth proportional to 11,953.56, 17,930.37 and 5,694.60 is: 8,541.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.56 : 17,930.37 = 5,694.60 : x
  2. Step 2: Convert to fraction form
    11,953.56/17,930.37 = 5,694.60/x
  3. Step 3: Cross multiply
    11,953.56x = 17,930.37 × 5,694.60
  4. Step 4: Simplify right side
    11,953.56x = 102,106,285.00
  5. Step 5: Solve for x
    x = 102,106,285.00/11,953.56
  6. Step 6: Final answer
    x = 8,541.91

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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.