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Finding the Fourth Proportional to 11,947.96, 16,487 and 6,642.26

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Solution

The fourth proportional to 11,947.96, 16,487 and 6,642.26 is: 9,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.96 : 16,487 = 6,642.26 : x
  2. Step 2: Convert to fraction form
    11,947.96/16,487 = 6,642.26/x
  3. Step 3: Cross multiply
    11,947.96x = 16,487 × 6,642.26
  4. Step 4: Simplify right side
    11,947.96x = 109,510,940.62
  5. Step 5: Solve for x
    x = 109,510,940.62/11,947.96
  6. Step 6: Final answer
    x = 9,165.66

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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.