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Finding the Fourth Proportional to 11,986.75, 16,542.95 and 7,208.26

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Solution

The fourth proportional to 11,986.75, 16,542.95 and 7,208.26 is: 9,948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.75 : 16,542.95 = 7,208.26 : x
  2. Step 2: Convert to fraction form
    11,986.75/16,542.95 = 7,208.26/x
  3. Step 3: Cross multiply
    11,986.75x = 16,542.95 × 7,208.26
  4. Step 4: Simplify right side
    11,986.75x = 119,245,884.77
  5. Step 5: Solve for x
    x = 119,245,884.77/11,986.75
  6. Step 6: Final answer
    x = 9,948.14

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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.