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Finding the Fourth Proportional to 10,777.80, 16,174.20 and 4,204.02

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Solution

The fourth proportional to 10,777.80, 16,174.20 and 4,204.02 is: 6,308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.80 : 16,174.20 = 4,204.02 : x
  2. Step 2: Convert to fraction form
    10,777.80/16,174.20 = 4,204.02/x
  3. Step 3: Cross multiply
    10,777.80x = 16,174.20 × 4,204.02
  4. Step 4: Simplify right side
    10,777.80x = 67,996,660.28
  5. Step 5: Solve for x
    x = 67,996,660.28/10,777.80
  6. Step 6: Final answer
    x = 6,308.96

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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.