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Finding the Fourth Proportional to 11,668.08, 16,089.18 and 7,884.66

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Solution

The fourth proportional to 11,668.08, 16,089.18 and 7,884.66 is: 10,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.08 : 16,089.18 = 7,884.66 : x
  2. Step 2: Convert to fraction form
    11,668.08/16,089.18 = 7,884.66/x
  3. Step 3: Cross multiply
    11,668.08x = 16,089.18 × 7,884.66
  4. Step 4: Simplify right side
    11,668.08x = 126,857,713.98
  5. Step 5: Solve for x
    x = 126,857,713.98/11,668.08
  6. Step 6: Final answer
    x = 10,872.20

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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.