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Finding the Fourth Proportional to 11,693.63, 17,546.78 and 6,772.88

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Solution

The fourth proportional to 11,693.63, 17,546.78 and 6,772.88 is: 10,162.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.63 : 17,546.78 = 6,772.88 : x
  2. Step 2: Convert to fraction form
    11,693.63/17,546.78 = 6,772.88/x
  3. Step 3: Cross multiply
    11,693.63x = 17,546.78 × 6,772.88
  4. Step 4: Simplify right side
    11,693.63x = 118,842,164.52
  5. Step 5: Solve for x
    x = 118,842,164.52/11,693.63
  6. Step 6: Final answer
    x = 10,162.99

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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.