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Finding the Fourth Proportional to 10,777.20, 16,165.80 and 8,857.20

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Solution

The fourth proportional to 10,777.20, 16,165.80 and 8,857.20 is: 13,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.20 : 16,165.80 = 8,857.20 : x
  2. Step 2: Convert to fraction form
    10,777.20/16,165.80 = 8,857.20/x
  3. Step 3: Cross multiply
    10,777.20x = 16,165.80 × 8,857.20
  4. Step 4: Simplify right side
    10,777.20x = 143,183,723.76
  5. Step 5: Solve for x
    x = 143,183,723.76/10,777.20
  6. Step 6: Final answer
    x = 13,285.80

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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.