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Finding the Fourth Proportional to 11,711.72, 16,167.62 and 6,930.16

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Solution

The fourth proportional to 11,711.72, 16,167.62 and 6,930.16 is: 9,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.72 : 16,167.62 = 6,930.16 : x
  2. Step 2: Convert to fraction form
    11,711.72/16,167.62 = 6,930.16/x
  3. Step 3: Cross multiply
    11,711.72x = 16,167.62 × 6,930.16
  4. Step 4: Simplify right side
    11,711.72x = 112,044,193.42
  5. Step 5: Solve for x
    x = 112,044,193.42/11,711.72
  6. Step 6: Final answer
    x = 9,566.84

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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.