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Finding the Fourth Proportional to 10,946.80, 16,420.20 and 3,049.30

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Solution

The fourth proportional to 10,946.80, 16,420.20 and 3,049.30 is: 4,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.80 : 16,420.20 = 3,049.30 : x
  2. Step 2: Convert to fraction form
    10,946.80/16,420.20 = 3,049.30/x
  3. Step 3: Cross multiply
    10,946.80x = 16,420.20 × 3,049.30
  4. Step 4: Simplify right side
    10,946.80x = 50,070,115.86
  5. Step 5: Solve for x
    x = 50,070,115.86/10,946.80
  6. Step 6: Final answer
    x = 4,573.95

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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.