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Finding the Fourth Proportional to 11,797.66, 17,688.27 and 5,220.25

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Solution

The fourth proportional to 11,797.66, 17,688.27 and 5,220.25 is: 7,826.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.66 : 17,688.27 = 5,220.25 : x
  2. Step 2: Convert to fraction form
    11,797.66/17,688.27 = 5,220.25/x
  3. Step 3: Cross multiply
    11,797.66x = 17,688.27 × 5,220.25
  4. Step 4: Simplify right side
    11,797.66x = 92,337,103.03
  5. Step 5: Solve for x
    x = 92,337,103.03/11,797.66
  6. Step 6: Final answer
    x = 7,826.73

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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.