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Finding the Fourth Proportional to 11,796.28, 17,697.15 and 5,222.52

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Solution

The fourth proportional to 11,796.28, 17,697.15 and 5,222.52 is: 7,834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.28 : 17,697.15 = 5,222.52 : x
  2. Step 2: Convert to fraction form
    11,796.28/17,697.15 = 5,222.52/x
  3. Step 3: Cross multiply
    11,796.28x = 17,697.15 × 5,222.52
  4. Step 4: Simplify right side
    11,796.28x = 92,423,719.82
  5. Step 5: Solve for x
    x = 92,423,719.82/11,796.28
  6. Step 6: Final answer
    x = 7,834.99

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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.