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Finding the Fourth Proportional to 6,811.40, 10,217.10 and 6,542.60

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Solution

The fourth proportional to 6,811.40, 10,217.10 and 6,542.60 is: 9,813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.40 : 10,217.10 = 6,542.60 : x
  2. Step 2: Convert to fraction form
    6,811.40/10,217.10 = 6,542.60/x
  3. Step 3: Cross multiply
    6,811.40x = 10,217.10 × 6,542.60
  4. Step 4: Simplify right side
    6,811.40x = 66,846,398.46
  5. Step 5: Solve for x
    x = 66,846,398.46/6,811.40
  6. Step 6: Final answer
    x = 9,813.90

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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.