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Finding the Fourth Proportional to 11,918.75, 16,448.31 and 7,202.12

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Solution

The fourth proportional to 11,918.75, 16,448.31 and 7,202.12 is: 9,939.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.75 : 16,448.31 = 7,202.12 : x
  2. Step 2: Convert to fraction form
    11,918.75/16,448.31 = 7,202.12/x
  3. Step 3: Cross multiply
    11,918.75x = 16,448.31 × 7,202.12
  4. Step 4: Simplify right side
    11,918.75x = 118,462,702.42
  5. Step 5: Solve for x
    x = 118,462,702.42/11,918.75
  6. Step 6: Final answer
    x = 9,939.19

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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.