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Finding the Fourth Proportional to 11,409.80, 17,120.16 and 5,171.72

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Solution

The fourth proportional to 11,409.80, 17,120.16 and 5,171.72 is: 7,760.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.80 : 17,120.16 = 5,171.72 : x
  2. Step 2: Convert to fraction form
    11,409.80/17,120.16 = 5,171.72/x
  3. Step 3: Cross multiply
    11,409.80x = 17,120.16 × 5,171.72
  4. Step 4: Simplify right side
    11,409.80x = 88,540,588.27
  5. Step 5: Solve for x
    x = 88,540,588.27/11,409.80
  6. Step 6: Final answer
    x = 7,760.05

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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.