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Finding the Fourth Proportional to 11,956.37, 16,498.36 and 6,922.17

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Solution

The fourth proportional to 11,956.37, 16,498.36 and 6,922.17 is: 9,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956.37 : 16,498.36 = 6,922.17 : x
  2. Step 2: Convert to fraction form
    11,956.37/16,498.36 = 6,922.17/x
  3. Step 3: Cross multiply
    11,956.37x = 16,498.36 × 6,922.17
  4. Step 4: Simplify right side
    11,956.37x = 114,204,452.64
  5. Step 5: Solve for x
    x = 114,204,452.64/11,956.37
  6. Step 6: Final answer
    x = 9,551.77

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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.