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Finding the Fourth Proportional to 11,399.27, 17,098.83 and 6,136.76

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Solution

The fourth proportional to 11,399.27, 17,098.83 and 6,136.76 is: 9,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.27 : 17,098.83 = 6,136.76 : x
  2. Step 2: Convert to fraction form
    11,399.27/17,098.83 = 6,136.76/x
  3. Step 3: Cross multiply
    11,399.27x = 17,098.83 × 6,136.76
  4. Step 4: Simplify right side
    11,399.27x = 104,931,458.74
  5. Step 5: Solve for x
    x = 104,931,458.74/11,399.27
  6. Step 6: Final answer
    x = 9,205.11

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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.