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Finding the Fourth Proportional to 10,677.49, 16,014.21 and 3,279.90

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Solution

The fourth proportional to 10,677.49, 16,014.21 and 3,279.90 is: 4,919.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.49 : 16,014.21 = 3,279.90 : x
  2. Step 2: Convert to fraction form
    10,677.49/16,014.21 = 3,279.90/x
  3. Step 3: Cross multiply
    10,677.49x = 16,014.21 × 3,279.90
  4. Step 4: Simplify right side
    10,677.49x = 52,525,007.38
  5. Step 5: Solve for x
    x = 52,525,007.38/10,677.49
  6. Step 6: Final answer
    x = 4,919.23

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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.