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Finding the Fourth Proportional to 11,602.38, 17,404.82 and 3,702.12

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Solution

The fourth proportional to 11,602.38, 17,404.82 and 3,702.12 is: 5,553.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.38 : 17,404.82 = 3,702.12 : x
  2. Step 2: Convert to fraction form
    11,602.38/17,404.82 = 3,702.12/x
  3. Step 3: Cross multiply
    11,602.38x = 17,404.82 × 3,702.12
  4. Step 4: Simplify right side
    11,602.38x = 64,434,794.34
  5. Step 5: Solve for x
    x = 64,434,794.34/11,602.38
  6. Step 6: Final answer
    x = 5,553.59

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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.