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Finding the Fourth Proportional to 10,685.80, 16,029.06 and 3,290.20

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Solution

The fourth proportional to 10,685.80, 16,029.06 and 3,290.20 is: 4,935.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.80 : 16,029.06 = 3,290.20 : x
  2. Step 2: Convert to fraction form
    10,685.80/16,029.06 = 3,290.20/x
  3. Step 3: Cross multiply
    10,685.80x = 16,029.06 × 3,290.20
  4. Step 4: Simplify right side
    10,685.80x = 52,738,813.21
  5. Step 5: Solve for x
    x = 52,738,813.21/10,685.80
  6. Step 6: Final answer
    x = 4,935.41

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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.