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Finding the Fourth Proportional to 10,675.80, 16,016.10 and 3,280.60

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Solution

The fourth proportional to 10,675.80, 16,016.10 and 3,280.60 is: 4,921.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.80 : 16,016.10 = 3,280.60 : x
  2. Step 2: Convert to fraction form
    10,675.80/16,016.10 = 3,280.60/x
  3. Step 3: Cross multiply
    10,675.80x = 16,016.10 × 3,280.60
  4. Step 4: Simplify right side
    10,675.80x = 52,542,417.66
  5. Step 5: Solve for x
    x = 52,542,417.66/10,675.80
  6. Step 6: Final answer
    x = 4,921.64

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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.