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Finding the Fourth Proportional to 6,813.70, 10,220.55 and 3,527.80

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Solution

The fourth proportional to 6,813.70, 10,220.55 and 3,527.80 is: 5,291.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.70 : 10,220.55 = 3,527.80 : x
  2. Step 2: Convert to fraction form
    6,813.70/10,220.55 = 3,527.80/x
  3. Step 3: Cross multiply
    6,813.70x = 10,220.55 × 3,527.80
  4. Step 4: Simplify right side
    6,813.70x = 36,056,056.29
  5. Step 5: Solve for x
    x = 36,056,056.29/6,813.70
  6. Step 6: Final answer
    x = 5,291.70

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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.