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Finding the Fourth Proportional to 11,660.78, 17,487.38 and 3,867.50

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Solution

The fourth proportional to 11,660.78, 17,487.38 and 3,867.50 is: 5,799.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.78 : 17,487.38 = 3,867.50 : x
  2. Step 2: Convert to fraction form
    11,660.78/17,487.38 = 3,867.50/x
  3. Step 3: Cross multiply
    11,660.78x = 17,487.38 × 3,867.50
  4. Step 4: Simplify right side
    11,660.78x = 67,632,442.15
  5. Step 5: Solve for x
    x = 67,632,442.15/11,660.78
  6. Step 6: Final answer
    x = 5,799.99

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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.