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Finding the Fourth Proportional to 11,509.24, 17,226.73 and 5,954.94

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Solution

The fourth proportional to 11,509.24, 17,226.73 and 5,954.94 is: 8,913.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.24 : 17,226.73 = 5,954.94 : x
  2. Step 2: Convert to fraction form
    11,509.24/17,226.73 = 5,954.94/x
  3. Step 3: Cross multiply
    11,509.24x = 17,226.73 × 5,954.94
  4. Step 4: Simplify right side
    11,509.24x = 102,584,143.55
  5. Step 5: Solve for x
    x = 102,584,143.55/11,509.24
  6. Step 6: Final answer
    x = 8,913.20

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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.