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Finding the Fourth Proportional to 11,675.52, 17,512.80 and 3,882.24

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Solution

The fourth proportional to 11,675.52, 17,512.80 and 3,882.24 is: 5,823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.52 : 17,512.80 = 3,882.24 : x
  2. Step 2: Convert to fraction form
    11,675.52/17,512.80 = 3,882.24/x
  3. Step 3: Cross multiply
    11,675.52x = 17,512.80 × 3,882.24
  4. Step 4: Simplify right side
    11,675.52x = 67,988,892.67
  5. Step 5: Solve for x
    x = 67,988,892.67/11,675.52
  6. Step 6: Final answer
    x = 5,823.20

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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.