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Finding the Fourth Proportional to 11,766.72, 16,236 and 7,049.28

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Solution

The fourth proportional to 11,766.72, 16,236 and 7,049.28 is: 9,726.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.72 : 16,236 = 7,049.28 : x
  2. Step 2: Convert to fraction form
    11,766.72/16,236 = 7,049.28/x
  3. Step 3: Cross multiply
    11,766.72x = 16,236 × 7,049.28
  4. Step 4: Simplify right side
    11,766.72x = 114,452,110.08
  5. Step 5: Solve for x
    x = 114,452,110.08/11,766.72
  6. Step 6: Final answer
    x = 9,726.76

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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.