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Finding the Fourth Proportional to 11,825.81, 17,729.10 and 4,809.11

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Solution

The fourth proportional to 11,825.81, 17,729.10 and 4,809.11 is: 7,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.81 : 17,729.10 = 4,809.11 : x
  2. Step 2: Convert to fraction form
    11,825.81/17,729.10 = 4,809.11/x
  3. Step 3: Cross multiply
    11,825.81x = 17,729.10 × 4,809.11
  4. Step 4: Simplify right side
    11,825.81x = 85,261,103.46
  5. Step 5: Solve for x
    x = 85,261,103.46/11,825.81
  6. Step 6: Final answer
    x = 7,209.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.