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Finding the Fourth Proportional to 11,954.08, 16,497.24 and 6,649

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Solution

The fourth proportional to 11,954.08, 16,497.24 and 6,649 is: 9,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.08 : 16,497.24 = 6,649 : x
  2. Step 2: Convert to fraction form
    11,954.08/16,497.24 = 6,649/x
  3. Step 3: Cross multiply
    11,954.08x = 16,497.24 × 6,649
  4. Step 4: Simplify right side
    11,954.08x = 109,690,148.76
  5. Step 5: Solve for x
    x = 109,690,148.76/11,954.08
  6. Step 6: Final answer
    x = 9,175.96

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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.