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Finding the Fourth Proportional to 11,178.76, 16,770.74 and 3,280.96

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Solution

The fourth proportional to 11,178.76, 16,770.74 and 3,280.96 is: 4,922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.76 : 16,770.74 = 3,280.96 : x
  2. Step 2: Convert to fraction form
    11,178.76/16,770.74 = 3,280.96/x
  3. Step 3: Cross multiply
    11,178.76x = 16,770.74 × 3,280.96
  4. Step 4: Simplify right side
    11,178.76x = 55,024,127.11
  5. Step 5: Solve for x
    x = 55,024,127.11/11,178.76
  6. Step 6: Final answer
    x = 4,922.20

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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.