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Finding the Fourth Proportional to 11,760.54, 16,229.07 and 7,047.42

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Solution

The fourth proportional to 11,760.54, 16,229.07 and 7,047.42 is: 9,725.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.54 : 16,229.07 = 7,047.42 : x
  2. Step 2: Convert to fraction form
    11,760.54/16,229.07 = 7,047.42/x
  3. Step 3: Cross multiply
    11,760.54x = 16,229.07 × 7,047.42
  4. Step 4: Simplify right side
    11,760.54x = 114,373,072.50
  5. Step 5: Solve for x
    x = 114,373,072.50/11,760.54
  6. Step 6: Final answer
    x = 9,725.15

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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.