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Finding the Fourth Proportional to 11,197.52, 16,797.24 and 6,266.96

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Solution

The fourth proportional to 11,197.52, 16,797.24 and 6,266.96 is: 9,400.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.52 : 16,797.24 = 6,266.96 : x
  2. Step 2: Convert to fraction form
    11,197.52/16,797.24 = 6,266.96/x
  3. Step 3: Cross multiply
    11,197.52x = 16,797.24 × 6,266.96
  4. Step 4: Simplify right side
    11,197.52x = 105,267,631.19
  5. Step 5: Solve for x
    x = 105,267,631.19/11,197.52
  6. Step 6: Final answer
    x = 9,400.98

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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.