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Finding the Fourth Proportional to 7,195.89, 10,773.90 and 3,678.32

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Solution

The fourth proportional to 7,195.89, 10,773.90 and 3,678.32 is: 5,507.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195.89 : 10,773.90 = 3,678.32 : x
  2. Step 2: Convert to fraction form
    7,195.89/10,773.90 = 3,678.32/x
  3. Step 3: Cross multiply
    7,195.89x = 10,773.90 × 3,678.32
  4. Step 4: Simplify right side
    7,195.89x = 39,629,878.78
  5. Step 5: Solve for x
    x = 39,629,878.78/7,195.89
  6. Step 6: Final answer
    x = 5,507.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.