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Finding the Fourth Proportional to 11,702.44, 17,553.88 and 5,460.75

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Solution

The fourth proportional to 11,702.44, 17,553.88 and 5,460.75 is: 8,191.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.44 : 17,553.88 = 5,460.75 : x
  2. Step 2: Convert to fraction form
    11,702.44/17,553.88 = 5,460.75/x
  3. Step 3: Cross multiply
    11,702.44x = 17,553.88 × 5,460.75
  4. Step 4: Simplify right side
    11,702.44x = 95,857,350.21
  5. Step 5: Solve for x
    x = 95,857,350.21/11,702.44
  6. Step 6: Final answer
    x = 8,191.23

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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.