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Finding the Fourth Proportional to 11,947.31, 16,487.25 and 6,642.12

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Solution

The fourth proportional to 11,947.31, 16,487.25 and 6,642.12 is: 9,166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.31 : 16,487.25 = 6,642.12 : x
  2. Step 2: Convert to fraction form
    11,947.31/16,487.25 = 6,642.12/x
  3. Step 3: Cross multiply
    11,947.31x = 16,487.25 × 6,642.12
  4. Step 4: Simplify right side
    11,947.31x = 109,510,329.89
  5. Step 5: Solve for x
    x = 109,510,329.89/11,947.31
  6. Step 6: Final answer
    x = 9,166.11

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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.