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Finding the Fourth Proportional to 11,765.13, 16,235.28 and 6,729.09

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Solution

The fourth proportional to 11,765.13, 16,235.28 and 6,729.09 is: 9,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.13 : 16,235.28 = 6,729.09 : x
  2. Step 2: Convert to fraction form
    11,765.13/16,235.28 = 6,729.09/x
  3. Step 3: Cross multiply
    11,765.13x = 16,235.28 × 6,729.09
  4. Step 4: Simplify right side
    11,765.13x = 109,248,660.30
  5. Step 5: Solve for x
    x = 109,248,660.30/11,765.13
  6. Step 6: Final answer
    x = 9,285.80

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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.