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Finding the Fourth Proportional to 11,593.76, 17,389.71 and 3,273.44

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Solution

The fourth proportional to 11,593.76, 17,389.71 and 3,273.44 is: 4,909.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.76 : 17,389.71 = 3,273.44 : x
  2. Step 2: Convert to fraction form
    11,593.76/17,389.71 = 3,273.44/x
  3. Step 3: Cross multiply
    11,593.76x = 17,389.71 × 3,273.44
  4. Step 4: Simplify right side
    11,593.76x = 56,924,085.35
  5. Step 5: Solve for x
    x = 56,924,085.35/11,593.76
  6. Step 6: Final answer
    x = 4,909.89

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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.