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Finding the Fourth Proportional to 11,702.68, 17,529.42 and 5,467.96

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Solution

The fourth proportional to 11,702.68, 17,529.42 and 5,467.96 is: 8,190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.68 : 17,529.42 = 5,467.96 : x
  2. Step 2: Convert to fraction form
    11,702.68/17,529.42 = 5,467.96/x
  3. Step 3: Cross multiply
    11,702.68x = 17,529.42 × 5,467.96
  4. Step 4: Simplify right side
    11,702.68x = 95,850,167.38
  5. Step 5: Solve for x
    x = 95,850,167.38/11,702.68
  6. Step 6: Final answer
    x = 8,190.45

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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.