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Finding the Fourth Proportional to 12,288.29, 16,958.24 and 6,911.66

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Solution

The fourth proportional to 12,288.29, 16,958.24 and 6,911.66 is: 9,538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.29 : 16,958.24 = 6,911.66 : x
  2. Step 2: Convert to fraction form
    12,288.29/16,958.24 = 6,911.66/x
  3. Step 3: Cross multiply
    12,288.29x = 16,958.24 × 6,911.66
  4. Step 4: Simplify right side
    12,288.29x = 117,209,469.73
  5. Step 5: Solve for x
    x = 117,209,469.73/12,288.29
  6. Step 6: Final answer
    x = 9,538.31

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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.