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Finding the Fourth Proportional to 11,524.17, 17,289 and 3,732.99

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Solution

The fourth proportional to 11,524.17, 17,289 and 3,732.99 is: 5,600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.17 : 17,289 = 3,732.99 : x
  2. Step 2: Convert to fraction form
    11,524.17/17,289 = 3,732.99/x
  3. Step 3: Cross multiply
    11,524.17x = 17,289 × 3,732.99
  4. Step 4: Simplify right side
    11,524.17x = 64,539,664.11
  5. Step 5: Solve for x
    x = 64,539,664.11/11,524.17
  6. Step 6: Final answer
    x = 5,600.37

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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.