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Finding the Fourth Proportional to 11,680.93, 17,524.03 and 6,136.89

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Solution

The fourth proportional to 11,680.93, 17,524.03 and 6,136.89 is: 9,206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.93 : 17,524.03 = 6,136.89 : x
  2. Step 2: Convert to fraction form
    11,680.93/17,524.03 = 6,136.89/x
  3. Step 3: Cross multiply
    11,680.93x = 17,524.03 × 6,136.89
  4. Step 4: Simplify right side
    11,680.93x = 107,543,044.47
  5. Step 5: Solve for x
    x = 107,543,044.47/11,680.93
  6. Step 6: Final answer
    x = 9,206.72

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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.