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Finding the Fourth Proportional to 11,993.51, 17,995.46 and 6,440.37

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Solution

The fourth proportional to 11,993.51, 17,995.46 and 6,440.37 is: 9,663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.51 : 17,995.46 = 6,440.37 : x
  2. Step 2: Convert to fraction form
    11,993.51/17,995.46 = 6,440.37/x
  3. Step 3: Cross multiply
    11,993.51x = 17,995.46 × 6,440.37
  4. Step 4: Simplify right side
    11,993.51x = 115,897,420.72
  5. Step 5: Solve for x
    x = 115,897,420.72/11,993.51
  6. Step 6: Final answer
    x = 9,663.34

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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.