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Finding the Fourth Proportional to 11,805.67, 16,286.94 and 7,024.66

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Solution

The fourth proportional to 11,805.67, 16,286.94 and 7,024.66 is: 9,691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.67 : 16,286.94 = 7,024.66 : x
  2. Step 2: Convert to fraction form
    11,805.67/16,286.94 = 7,024.66/x
  3. Step 3: Cross multiply
    11,805.67x = 16,286.94 × 7,024.66
  4. Step 4: Simplify right side
    11,805.67x = 114,410,134.51
  5. Step 5: Solve for x
    x = 114,410,134.51/11,805.67
  6. Step 6: Final answer
    x = 9,691.12

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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.