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Finding the Fourth Proportional to 7,181.80, 10,772.70 and 6,452.20

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Solution

The fourth proportional to 7,181.80, 10,772.70 and 6,452.20 is: 9,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.80 : 10,772.70 = 6,452.20 : x
  2. Step 2: Convert to fraction form
    7,181.80/10,772.70 = 6,452.20/x
  3. Step 3: Cross multiply
    7,181.80x = 10,772.70 × 6,452.20
  4. Step 4: Simplify right side
    7,181.80x = 69,507,614.94
  5. Step 5: Solve for x
    x = 69,507,614.94/7,181.80
  6. Step 6: Final answer
    x = 9,678.30

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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.