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Finding the Fourth Proportional to 11,765.87, 17,632.77 and 6,493.02

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Solution

The fourth proportional to 11,765.87, 17,632.77 and 6,493.02 is: 9,730.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.87 : 17,632.77 = 6,493.02 : x
  2. Step 2: Convert to fraction form
    11,765.87/17,632.77 = 6,493.02/x
  3. Step 3: Cross multiply
    11,765.87x = 17,632.77 × 6,493.02
  4. Step 4: Simplify right side
    11,765.87x = 114,489,928.27
  5. Step 5: Solve for x
    x = 114,489,928.27/11,765.87
  6. Step 6: Final answer
    x = 9,730.68

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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.