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Finding the Fourth Proportional to 6,817.42, 10,218.84 and 3,527.20

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Solution

The fourth proportional to 6,817.42, 10,218.84 and 3,527.20 is: 5,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.42 : 10,218.84 = 3,527.20 : x
  2. Step 2: Convert to fraction form
    6,817.42/10,218.84 = 3,527.20/x
  3. Step 3: Cross multiply
    6,817.42x = 10,218.84 × 3,527.20
  4. Step 4: Simplify right side
    6,817.42x = 36,043,892.45
  5. Step 5: Solve for x
    x = 36,043,892.45/6,817.42
  6. Step 6: Final answer
    x = 5,287.03

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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.