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Finding the Fourth Proportional to 11,494.20, 17,242.92 and 3,702

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Solution

The fourth proportional to 11,494.20, 17,242.92 and 3,702 is: 5,553.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.20 : 17,242.92 = 3,702 : x
  2. Step 2: Convert to fraction form
    11,494.20/17,242.92 = 3,702/x
  3. Step 3: Cross multiply
    11,494.20x = 17,242.92 × 3,702
  4. Step 4: Simplify right side
    11,494.20x = 63,833,289.84
  5. Step 5: Solve for x
    x = 63,833,289.84/11,494.20
  6. Step 6: Final answer
    x = 5,553.52

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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.