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Finding the Fourth Proportional to 11,816.62, 16,309.69 and 7,343.73

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Solution

The fourth proportional to 11,816.62, 16,309.69 and 7,343.73 is: 10,136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.62 : 16,309.69 = 7,343.73 : x
  2. Step 2: Convert to fraction form
    11,816.62/16,309.69 = 7,343.73/x
  3. Step 3: Cross multiply
    11,816.62x = 16,309.69 × 7,343.73
  4. Step 4: Simplify right side
    11,816.62x = 119,773,941.38
  5. Step 5: Solve for x
    x = 119,773,941.38/11,816.62
  6. Step 6: Final answer
    x = 10,136.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.