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Finding the Fourth Proportional to 11,922.57, 16,453.26 and 6,617.88

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Solution

The fourth proportional to 11,922.57, 16,453.26 and 6,617.88 is: 9,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.57 : 16,453.26 = 6,617.88 : x
  2. Step 2: Convert to fraction form
    11,922.57/16,453.26 = 6,617.88/x
  3. Step 3: Cross multiply
    11,922.57x = 16,453.26 × 6,617.88
  4. Step 4: Simplify right side
    11,922.57x = 108,885,700.29
  5. Step 5: Solve for x
    x = 108,885,700.29/11,922.57
  6. Step 6: Final answer
    x = 9,132.74

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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.