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Finding the Fourth Proportional to 11,860.46, 17,753.78 and 7,468.70

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Solution

The fourth proportional to 11,860.46, 17,753.78 and 7,468.70 is: 11,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.46 : 17,753.78 = 7,468.70 : x
  2. Step 2: Convert to fraction form
    11,860.46/17,753.78 = 7,468.70/x
  3. Step 3: Cross multiply
    11,860.46x = 17,753.78 × 7,468.70
  4. Step 4: Simplify right side
    11,860.46x = 132,597,586.59
  5. Step 5: Solve for x
    x = 132,597,586.59/11,860.46
  6. Step 6: Final answer
    x = 11,179.80

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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.