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Finding the Fourth Proportional to 11,628.77, 16,049.75 and 6,848.96

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Solution

The fourth proportional to 11,628.77, 16,049.75 and 6,848.96 is: 9,452.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.77 : 16,049.75 = 6,848.96 : x
  2. Step 2: Convert to fraction form
    11,628.77/16,049.75 = 6,848.96/x
  3. Step 3: Cross multiply
    11,628.77x = 16,049.75 × 6,848.96
  4. Step 4: Simplify right side
    11,628.77x = 109,923,981.27
  5. Step 5: Solve for x
    x = 109,923,981.27/11,628.77
  6. Step 6: Final answer
    x = 9,452.76

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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.