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Finding the Fourth Proportional to 11,431.64, 17,136.10 and 6,491.05

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Solution

The fourth proportional to 11,431.64, 17,136.10 and 6,491.05 is: 9,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.64 : 17,136.10 = 6,491.05 : x
  2. Step 2: Convert to fraction form
    11,431.64/17,136.10 = 6,491.05/x
  3. Step 3: Cross multiply
    11,431.64x = 17,136.10 × 6,491.05
  4. Step 4: Simplify right side
    11,431.64x = 111,231,163.77
  5. Step 5: Solve for x
    x = 111,231,163.77/11,431.64
  6. Step 6: Final answer
    x = 9,730.11

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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.