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Finding the Fourth Proportional to 11,811.53, 17,714.87 and 5,233.52

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Solution

The fourth proportional to 11,811.53, 17,714.87 and 5,233.52 is: 7,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.53 : 17,714.87 = 5,233.52 : x
  2. Step 2: Convert to fraction form
    11,811.53/17,714.87 = 5,233.52/x
  3. Step 3: Cross multiply
    11,811.53x = 17,714.87 × 5,233.52
  4. Step 4: Simplify right side
    11,811.53x = 92,711,144.56
  5. Step 5: Solve for x
    x = 92,711,144.56/11,811.53
  6. Step 6: Final answer
    x = 7,849.21

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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.