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Finding the Fourth Proportional to 11,638.46, 17,460.43 and 3,318.60

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Solution

The fourth proportional to 11,638.46, 17,460.43 and 3,318.60 is: 4,978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.46 : 17,460.43 = 3,318.60 : x
  2. Step 2: Convert to fraction form
    11,638.46/17,460.43 = 3,318.60/x
  3. Step 3: Cross multiply
    11,638.46x = 17,460.43 × 3,318.60
  4. Step 4: Simplify right side
    11,638.46x = 57,944,174.70
  5. Step 5: Solve for x
    x = 57,944,174.70/11,638.46
  6. Step 6: Final answer
    x = 4,978.68

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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.