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Finding the Fourth Proportional to 10,805.33, 16,207.95 and 4,226.88

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Solution

The fourth proportional to 10,805.33, 16,207.95 and 4,226.88 is: 6,340.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.33 : 16,207.95 = 4,226.88 : x
  2. Step 2: Convert to fraction form
    10,805.33/16,207.95 = 4,226.88/x
  3. Step 3: Cross multiply
    10,805.33x = 16,207.95 × 4,226.88
  4. Step 4: Simplify right side
    10,805.33x = 68,509,059.70
  5. Step 5: Solve for x
    x = 68,509,059.70/10,805.33
  6. Step 6: Final answer
    x = 6,340.30

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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.