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Finding the Fourth Proportional to 11,681.69, 16,119.99 and 6,375.42

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Solution

The fourth proportional to 11,681.69, 16,119.99 and 6,375.42 is: 8,797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.69 : 16,119.99 = 6,375.42 : x
  2. Step 2: Convert to fraction form
    11,681.69/16,119.99 = 6,375.42/x
  3. Step 3: Cross multiply
    11,681.69x = 16,119.99 × 6,375.42
  4. Step 4: Simplify right side
    11,681.69x = 102,771,706.65
  5. Step 5: Solve for x
    x = 102,771,706.65/11,681.69
  6. Step 6: Final answer
    x = 8,797.68

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