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Finding the Fourth Proportional to 11,197.26, 16,776.99 and 5,340.96

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Solution

The fourth proportional to 11,197.26, 16,776.99 and 5,340.96 is: 8,002.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.26 : 16,776.99 = 5,340.96 : x
  2. Step 2: Convert to fraction form
    11,197.26/16,776.99 = 5,340.96/x
  3. Step 3: Cross multiply
    11,197.26x = 16,776.99 × 5,340.96
  4. Step 4: Simplify right side
    11,197.26x = 89,605,232.51
  5. Step 5: Solve for x
    x = 89,605,232.51/11,197.26
  6. Step 6: Final answer
    x = 8,002.42

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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.