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Finding the Fourth Proportional to 11,500.94, 17,248.67 and 3,180.78

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Solution

The fourth proportional to 11,500.94, 17,248.67 and 3,180.78 is: 4,770.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.94 : 17,248.67 = 3,180.78 : x
  2. Step 2: Convert to fraction form
    11,500.94/17,248.67 = 3,180.78/x
  3. Step 3: Cross multiply
    11,500.94x = 17,248.67 × 3,180.78
  4. Step 4: Simplify right side
    11,500.94x = 54,864,220.59
  5. Step 5: Solve for x
    x = 54,864,220.59/11,500.94
  6. Step 6: Final answer
    x = 4,770.41

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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.