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Finding the Fourth Proportional to 12,086.72, 16,679.68 and 6,782.08

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Solution

The fourth proportional to 12,086.72, 16,679.68 and 6,782.08 is: 9,359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.72 : 16,679.68 = 6,782.08 : x
  2. Step 2: Convert to fraction form
    12,086.72/16,679.68 = 6,782.08/x
  3. Step 3: Cross multiply
    12,086.72x = 16,679.68 × 6,782.08
  4. Step 4: Simplify right side
    12,086.72x = 113,122,924.13
  5. Step 5: Solve for x
    x = 113,122,924.13/12,086.72
  6. Step 6: Final answer
    x = 9,359.27

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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.