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Finding the Fourth Proportional to 11,937.21, 16,474.86 and 7,221.48

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Solution

The fourth proportional to 11,937.21, 16,474.86 and 7,221.48 is: 9,966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.21 : 16,474.86 = 7,221.48 : x
  2. Step 2: Convert to fraction form
    11,937.21/16,474.86 = 7,221.48/x
  3. Step 3: Cross multiply
    11,937.21x = 16,474.86 × 7,221.48
  4. Step 4: Simplify right side
    11,937.21x = 118,972,871.99
  5. Step 5: Solve for x
    x = 118,972,871.99/11,937.21
  6. Step 6: Final answer
    x = 9,966.56

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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.