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Finding the Fourth Proportional to 10,947.12, 16,422 and 3,156

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Solution

The fourth proportional to 10,947.12, 16,422 and 3,156 is: 4,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.12 : 16,422 = 3,156 : x
  2. Step 2: Convert to fraction form
    10,947.12/16,422 = 3,156/x
  3. Step 3: Cross multiply
    10,947.12x = 16,422 × 3,156
  4. Step 4: Simplify right side
    10,947.12x = 51,827,832
  5. Step 5: Solve for x
    x = 51,827,832/10,947.12
  6. Step 6: Final answer
    x = 4,734.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.