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Finding the Fourth Proportional to 7,781.72, 11,662.82 and 6,131.76

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Solution

The fourth proportional to 7,781.72, 11,662.82 and 6,131.76 is: 9,189.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.72 : 11,662.82 = 6,131.76 : x
  2. Step 2: Convert to fraction form
    7,781.72/11,662.82 = 6,131.76/x
  3. Step 3: Cross multiply
    7,781.72x = 11,662.82 × 6,131.76
  4. Step 4: Simplify right side
    7,781.72x = 71,513,613.16
  5. Step 5: Solve for x
    x = 71,513,613.16/7,781.72
  6. Step 6: Final answer
    x = 9,189.95

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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.