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Finding the Fourth Proportional to 12,034.66, 16,607.82 and 6,729.57

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Solution

The fourth proportional to 12,034.66, 16,607.82 and 6,729.57 is: 9,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.66 : 16,607.82 = 6,729.57 : x
  2. Step 2: Convert to fraction form
    12,034.66/16,607.82 = 6,729.57/x
  3. Step 3: Cross multiply
    12,034.66x = 16,607.82 × 6,729.57
  4. Step 4: Simplify right side
    12,034.66x = 111,763,487.24
  5. Step 5: Solve for x
    x = 111,763,487.24/12,034.66
  6. Step 6: Final answer
    x = 9,286.80

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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.