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Finding the Fourth Proportional to 11,659.97, 17,495.13 and 6,112.00

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Solution

The fourth proportional to 11,659.97, 17,495.13 and 6,112.00 is: 9,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.97 : 17,495.13 = 6,112.00 : x
  2. Step 2: Convert to fraction form
    11,659.97/17,495.13 = 6,112.00/x
  3. Step 3: Cross multiply
    11,659.97x = 17,495.13 × 6,112.00
  4. Step 4: Simplify right side
    11,659.97x = 106,930,116.52
  5. Step 5: Solve for x
    x = 106,930,116.52/11,659.97
  6. Step 6: Final answer
    x = 9,170.70

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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.