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Finding the Fourth Proportional to 11,918.26, 16,444.62 and 7,201.62

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Solution

The fourth proportional to 11,918.26, 16,444.62 and 7,201.62 is: 9,936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.26 : 16,444.62 = 7,201.62 : x
  2. Step 2: Convert to fraction form
    11,918.26/16,444.62 = 7,201.62/x
  3. Step 3: Cross multiply
    11,918.26x = 16,444.62 × 7,201.62
  4. Step 4: Simplify right side
    11,918.26x = 118,427,904.28
  5. Step 5: Solve for x
    x = 118,427,904.28/11,918.26
  6. Step 6: Final answer
    x = 9,936.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.