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Finding the Fourth Proportional to 10,776.50, 16,165.14 and 3,380.78

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Solution

The fourth proportional to 10,776.50, 16,165.14 and 3,380.78 is: 5,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.50 : 16,165.14 = 3,380.78 : x
  2. Step 2: Convert to fraction form
    10,776.50/16,165.14 = 3,380.78/x
  3. Step 3: Cross multiply
    10,776.50x = 16,165.14 × 3,380.78
  4. Step 4: Simplify right side
    10,776.50x = 54,650,782.01
  5. Step 5: Solve for x
    x = 54,650,782.01/10,776.50
  6. Step 6: Final answer
    x = 5,071.29

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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.