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Finding the Fourth Proportional to 11,744.34, 17,618.82 and 4,348.86

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Solution

The fourth proportional to 11,744.34, 17,618.82 and 4,348.86 is: 6,524.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.34 : 17,618.82 = 4,348.86 : x
  2. Step 2: Convert to fraction form
    11,744.34/17,618.82 = 4,348.86/x
  3. Step 3: Cross multiply
    11,744.34x = 17,618.82 × 4,348.86
  4. Step 4: Simplify right side
    11,744.34x = 76,621,781.55
  5. Step 5: Solve for x
    x = 76,621,781.55/11,744.34
  6. Step 6: Final answer
    x = 6,524.15

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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.