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Finding the Fourth Proportional to 11,987.49, 17,988.26 and 6,734.37

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Solution

The fourth proportional to 11,987.49, 17,988.26 and 6,734.37 is: 10,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,987.49 : 17,988.26 = 6,734.37 : x
  2. Step 2: Convert to fraction form
    11,987.49/17,988.26 = 6,734.37/x
  3. Step 3: Cross multiply
    11,987.49x = 17,988.26 × 6,734.37
  4. Step 4: Simplify right side
    11,987.49x = 121,139,564.82
  5. Step 5: Solve for x
    x = 121,139,564.82/11,987.49
  6. Step 6: Final answer
    x = 10,105.50

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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.