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Finding the Fourth Proportional to 10,809.88, 16,209.42 and 4,961.50

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Solution

The fourth proportional to 10,809.88, 16,209.42 and 4,961.50 is: 7,439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.88 : 16,209.42 = 4,961.50 : x
  2. Step 2: Convert to fraction form
    10,809.88/16,209.42 = 4,961.50/x
  3. Step 3: Cross multiply
    10,809.88x = 16,209.42 × 4,961.50
  4. Step 4: Simplify right side
    10,809.88x = 80,423,037.33
  5. Step 5: Solve for x
    x = 80,423,037.33/10,809.88
  6. Step 6: Final answer
    x = 7,439.77

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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.