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Finding the Fourth Proportional to 11,206.20, 16,793.10 and 4,961.10

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Solution

The fourth proportional to 11,206.20, 16,793.10 and 4,961.10 is: 7,434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.20 : 16,793.10 = 4,961.10 : x
  2. Step 2: Convert to fraction form
    11,206.20/16,793.10 = 4,961.10/x
  3. Step 3: Cross multiply
    11,206.20x = 16,793.10 × 4,961.10
  4. Step 4: Simplify right side
    11,206.20x = 83,312,248.41
  5. Step 5: Solve for x
    x = 83,312,248.41/11,206.20
  6. Step 6: Final answer
    x = 7,434.48

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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.